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Simplifying -2(4x + -7) = 3(x + 9) Reorder the terms: -2(-7 + 4x) = 3(x + 9) (-7 * -2 + 4x * -2) = 3(x + 9) (14 + -8x) = 3(x + 9) Reorder the terms: 14 + -8x = 3(9 + x) 14 + -8x = (9 * 3 + x * 3) 14 + -8x = (27 + 3x) Solving 14 + -8x = 27 + 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 = 27 + 3x + -3x Combine like terms: -8x + -3x = -11x 14 + -11x = 27 + 3x + -3x Combine like terms: 3x + -3x = 0 14 + -11x = 27 + 0 14 + -11x = 27 Add '-14' to each side of the equation. 14 + -14 + -11x = 27 + -14 Combine like terms: 14 + -14 = 0 0 + -11x = 27 + -14 -11x = 27 + -14 Combine like terms: 27 + -14 = 13 -11x = 13 Divide each side by '-11'. x = -1.181818182 Simplifying x = -1.181818182
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