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Simplifying 120 = 6x + -7(5x + 16) Reorder the terms: 120 = 6x + -7(16 + 5x) 120 = 6x + (16 * -7 + 5x * -7) 120 = 6x + (-112 + -35x) Reorder the terms: 120 = -112 + 6x + -35x Combine like terms: 6x + -35x = -29x 120 = -112 + -29x Solving 120 = -112 + -29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '29x' to each side of the equation. 120 + 29x = -112 + -29x + 29x Combine like terms: -29x + 29x = 0 120 + 29x = -112 + 0 120 + 29x = -112 Add '-120' to each side of the equation. 120 + -120 + 29x = -112 + -120 Combine like terms: 120 + -120 = 0 0 + 29x = -112 + -120 29x = -112 + -120 Combine like terms: -112 + -120 = -232 29x = -232 Divide each side by '29'. x = -8 Simplifying x = -8
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