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Simplifying 4(5x + 72) = 2(x + 36) Reorder the terms: 4(72 + 5x) = 2(x + 36) (72 * 4 + 5x * 4) = 2(x + 36) (288 + 20x) = 2(x + 36) Reorder the terms: 288 + 20x = 2(36 + x) 288 + 20x = (36 * 2 + x * 2) 288 + 20x = (72 + 2x) Solving 288 + 20x = 72 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 288 + 20x + -2x = 72 + 2x + -2x Combine like terms: 20x + -2x = 18x 288 + 18x = 72 + 2x + -2x Combine like terms: 2x + -2x = 0 288 + 18x = 72 + 0 288 + 18x = 72 Add '-288' to each side of the equation. 288 + -288 + 18x = 72 + -288 Combine like terms: 288 + -288 = 0 0 + 18x = 72 + -288 18x = 72 + -288 Combine like terms: 72 + -288 = -216 18x = -216 Divide each side by '18'. x = -12 Simplifying x = -12
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