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3.3 Solving Multi-Step Equations

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A multi-step equation requires more than two steps to solve. To solve a multi-step equation: you may have to simplify the equation first by combining like terms.

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Solve. 8x + 6 + 3x – 2 = 37 Example: 11x + 4 = 37 Combine like terms. – 4 – 4 opposite and balance 11x = 33 x = 3 Since x is multiplied by 11, divide both sides by 11. 33 11 11x 11 = Now check your solution!

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Solve. -9x - 4 + 4x – 2 = 44 Check It Out! Example -5x - 6 = 44 Combine like terms. +6 +6 Since 6 is subtracted from -5x, add 6 to both sides. -5x = 50 x = -10 Since x is multiplied by -5, divide both sides by -5. 50 -5 -5x -5 = Now check your solution!

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Solve an equation by combining like terms EXAMPLE 1 8x – 3x – 10 = 20 Write original equation. 5x – 10 = 20 Combine like terms. 5x – 10 + 10 = 20 + 10.

Solve an equation by combining like terms EXAMPLE 1 8x – 3x – 10 = 20 Write original equation. 5x – 10 = 20 Combine like terms. 5x – 10 + 10 = 20 + 10.

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