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Simplifying 3(4x + 9) = 7(2 + -5x) + -2x Reorder the terms: 3(9 + 4x) = 7(2 + -5x) + -2x (9 * 3 + 4x * 3) = 7(2 + -5x) + -2x (27 + 12x) = 7(2 + -5x) + -2x 27 + 12x = (2 * 7 + -5x * 7) + -2x 27 + 12x = (14 + -35x) + -2x Combine like terms: -35x + -2x = -37x 27 + 12x = 14 + -37x Solving 27 + 12x = 14 + -37x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '37x' to each side of the equation. 27 + 12x + 37x = 14 + -37x + 37x Combine like terms: 12x + 37x = 49x 27 + 49x = 14 + -37x + 37x Combine like terms: -37x + 37x = 0 27 + 49x = 14 + 0 27 + 49x = 14 Add '-27' to each side of the equation. 27 + -27 + 49x = 14 + -27 Combine like terms: 27 + -27 = 0 0 + 49x = 14 + -27 49x = 14 + -27 Combine like terms: 14 + -27 = -13 49x = -13 Divide each side by '49'. x = -0.2653061224 Simplifying x = -0.2653061224
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