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Simplifying 10(x + 36) = -20(2 + -1x) Reorder the terms: 10(36 + x) = -20(2 + -1x) (36 * 10 + x * 10) = -20(2 + -1x) (360 + 10x) = -20(2 + -1x) 360 + 10x = (2 * -20 + -1x * -20) 360 + 10x = (-40 + 20x) Solving 360 + 10x = -40 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. 360 + 10x + -20x = -40 + 20x + -20x Combine like terms: 10x + -20x = -10x 360 + -10x = -40 + 20x + -20x Combine like terms: 20x + -20x = 0 360 + -10x = -40 + 0 360 + -10x = -40 Add '-360' to each side of the equation. 360 + -360 + -10x = -40 + -360 Combine like terms: 360 + -360 = 0 0 + -10x = -40 + -360 -10x = -40 + -360 Combine like terms: -40 + -360 = -400 -10x = -400 Divide each side by '-10'. x = 40 Simplifying x = 40
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