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Simplifying 24(x + 10) = -20(x + -12) Reorder the terms: 24(10 + x) = -20(x + -12) (10 * 24 + x * 24) = -20(x + -12) (240 + 24x) = -20(x + -12) Reorder the terms: 240 + 24x = -20(-12 + x) 240 + 24x = (-12 * -20 + x * -20) 240 + 24x = (240 + -20x) Add '-240' to each side of the equation. 240 + -240 + 24x = 240 + -240 + -20x Combine like terms: 240 + -240 = 0 0 + 24x = 240 + -240 + -20x 24x = 240 + -240 + -20x Combine like terms: 240 + -240 = 0 24x = 0 + -20x 24x = -20x Solving 24x = -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. 24x + 20x = -20x + 20x Combine like terms: 24x + 20x = 44x 44x = -20x + 20x Combine like terms: -20x + 20x = 0 44x = 0 Divide each side by '44'. x = 0 Simplifying x = 0
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