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Simplifying 3(4x + 9) = 7(2 + -5x) + -5x Reorder the terms: 3(9 + 4x) = 7(2 + -5x) + -5x (9 * 3 + 4x * 3) = 7(2 + -5x) + -5x (27 + 12x) = 7(2 + -5x) + -5x 27 + 12x = (2 * 7 + -5x * 7) + -5x 27 + 12x = (14 + -35x) + -5x Combine like terms: -35x + -5x = -40x 27 + 12x = 14 + -40x Solving 27 + 12x = 14 + -40x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '40x' to each side of the equation. 27 + 12x + 40x = 14 + -40x + 40x Combine like terms: 12x + 40x = 52x 27 + 52x = 14 + -40x + 40x Combine like terms: -40x + 40x = 0 27 + 52x = 14 + 0 27 + 52x = 14 Add '-27' to each side of the equation. 27 + -27 + 52x = 14 + -27 Combine like terms: 27 + -27 = 0 0 + 52x = 14 + -27 52x = 14 + -27 Combine like terms: 14 + -27 = -13 52x = -13 Divide each side by '52'. x = -0.25 Simplifying x = -0.25
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