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Simplifying 4(7 + -12x) = 6 + -1(2x + 5) (7 * 4 + -12x * 4) = 6 + -1(2x + 5) (28 + -48x) = 6 + -1(2x + 5) Reorder the terms: 28 + -48x = 6 + -1(5 + 2x) 28 + -48x = 6 + (5 * -1 + 2x * -1) 28 + -48x = 6 + (-5 + -2x) Combine like terms: 6 + -5 = 1 28 + -48x = 1 + -2x Solving 28 + -48x = 1 + -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. 28 + -48x + 2x = 1 + -2x + 2x Combine like terms: -48x + 2x = -46x 28 + -46x = 1 + -2x + 2x Combine like terms: -2x + 2x = 0 28 + -46x = 1 + 0 28 + -46x = 1 Add '-28' to each side of the equation. 28 + -28 + -46x = 1 + -28 Combine like terms: 28 + -28 = 0 0 + -46x = 1 + -28 -46x = 1 + -28 Combine like terms: 1 + -28 = -27 -46x = -27 Divide each side by '-46'. x = 0.5869565217 Simplifying x = 0.5869565217
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