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Simplifying 2(4x + 7) = 3(5 + -1x) Reorder the terms: 2(7 + 4x) = 3(5 + -1x) (7 * 2 + 4x * 2) = 3(5 + -1x) (14 + 8x) = 3(5 + -1x) 14 + 8x = (5 * 3 + -1x * 3) 14 + 8x = (15 + -3x) Solving 14 + 8x = 15 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. 14 + 8x + 3x = 15 + -3x + 3x Combine like terms: 8x + 3x = 11x 14 + 11x = 15 + -3x + 3x Combine like terms: -3x + 3x = 0 14 + 11x = 15 + 0 14 + 11x = 15 Add '-14' to each side of the equation. 14 + -14 + 11x = 15 + -14 Combine like terms: 14 + -14 = 0 0 + 11x = 15 + -14 11x = 15 + -14 Combine like terms: 15 + -14 = 1 11x = 1 Divide each side by '11'. x = 0.09090909091 Simplifying x = 0.09090909091
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