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Simplifying 10(12 + -1x) = 5(2x + -8) (12 * 10 + -1x * 10) = 5(2x + -8) (120 + -10x) = 5(2x + -8) Reorder the terms: 120 + -10x = 5(-8 + 2x) 120 + -10x = (-8 * 5 + 2x * 5) 120 + -10x = (-40 + 10x) Solving 120 + -10x = -40 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 120 + -10x + -10x = -40 + 10x + -10x Combine like terms: -10x + -10x = -20x 120 + -20x = -40 + 10x + -10x Combine like terms: 10x + -10x = 0 120 + -20x = -40 + 0 120 + -20x = -40 Add '-120' to each side of the equation. 120 + -120 + -20x = -40 + -120 Combine like terms: 120 + -120 = 0 0 + -20x = -40 + -120 -20x = -40 + -120 Combine like terms: -40 + -120 = -160 -20x = -160 Divide each side by '-20'. x = 8 Simplifying x = 8
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