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Simplifying 4(7 + -5x) = 12(8 + 4x) (7 * 4 + -5x * 4) = 12(8 + 4x) (28 + -20x) = 12(8 + 4x) 28 + -20x = (8 * 12 + 4x * 12) 28 + -20x = (96 + 48x) Solving 28 + -20x = 96 + 48x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48x' to each side of the equation. 28 + -20x + -48x = 96 + 48x + -48x Combine like terms: -20x + -48x = -68x 28 + -68x = 96 + 48x + -48x Combine like terms: 48x + -48x = 0 28 + -68x = 96 + 0 28 + -68x = 96 Add '-28' to each side of the equation. 28 + -28 + -68x = 96 + -28 Combine like terms: 28 + -28 = 0 0 + -68x = 96 + -28 -68x = 96 + -28 Combine like terms: 96 + -28 = 68 -68x = 68 Divide each side by '-68'. x = -1 Simplifying x = -1
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