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Simplifying (2x + -4)(24) = (x + 6)(39) Reorder the terms: (-4 + 2x)(24) = (x + 6)(39) Reorder the terms for easier multiplication: 24(-4 + 2x) = (x + 6)(39) (-4 * 24 + 2x * 24) = (x + 6)(39) (-96 + 48x) = (x + 6)(39) Reorder the terms: -96 + 48x = (6 + x)(39) Reorder the terms for easier multiplication: -96 + 48x = 39(6 + x) -96 + 48x = (6 * 39 + x * 39) -96 + 48x = (234 + 39x) Solving -96 + 48x = 234 + 39x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-39x' to each side of the equation. -96 + 48x + -39x = 234 + 39x + -39x Combine like terms: 48x + -39x = 9x -96 + 9x = 234 + 39x + -39x Combine like terms: 39x + -39x = 0 -96 + 9x = 234 + 0 -96 + 9x = 234 Add '96' to each side of the equation. -96 + 96 + 9x = 234 + 96 Combine like terms: -96 + 96 = 0 0 + 9x = 234 + 96 9x = 234 + 96 Combine like terms: 234 + 96 = 330 9x = 330 Divide each side by '9'. x = 36.66666667 Simplifying x = 36.66666667
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