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Simplifying 10(x + 72) = -20(4 + -1x) Reorder the terms: 10(72 + x) = -20(4 + -1x) (72 * 10 + x * 10) = -20(4 + -1x) (720 + 10x) = -20(4 + -1x) 720 + 10x = (4 * -20 + -1x * -20) 720 + 10x = (-80 + 20x) Solving 720 + 10x = -80 + 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. 720 + 10x + -20x = -80 + 20x + -20x Combine like terms: 10x + -20x = -10x 720 + -10x = -80 + 20x + -20x Combine like terms: 20x + -20x = 0 720 + -10x = -80 + 0 720 + -10x = -80 Add '-720' to each side of the equation. 720 + -720 + -10x = -80 + -720 Combine like terms: 720 + -720 = 0 0 + -10x = -80 + -720 -10x = -80 + -720 Combine like terms: -80 + -720 = -800 -10x = -800 Divide each side by '-10'. x = 80 Simplifying x = 80
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