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Simplifying 2(x + 6) = -3(4x + -9) Reorder the terms: 2(6 + x) = -3(4x + -9) (6 * 2 + x * 2) = -3(4x + -9) (12 + 2x) = -3(4x + -9) Reorder the terms: 12 + 2x = -3(-9 + 4x) 12 + 2x = (-9 * -3 + 4x * -3) 12 + 2x = (27 + -12x) Solving 12 + 2x = 27 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 12 + 2x + 12x = 27 + -12x + 12x Combine like terms: 2x + 12x = 14x 12 + 14x = 27 + -12x + 12x Combine like terms: -12x + 12x = 0 12 + 14x = 27 + 0 12 + 14x = 27 Add '-12' to each side of the equation. 12 + -12 + 14x = 27 + -12 Combine like terms: 12 + -12 = 0 0 + 14x = 27 + -12 14x = 27 + -12 Combine like terms: 27 + -12 = 15 14x = 15 Divide each side by '14'. x = 1.071428571 Simplifying x = 1.071428571
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