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Simplifying 2x + -9 + 3(4x + 3) = -2(x + 9) Reorder the terms: 2x + -9 + 3(3 + 4x) = -2(x + 9) 2x + -9 + (3 * 3 + 4x * 3) = -2(x + 9) 2x + -9 + (9 + 12x) = -2(x + 9) Reorder the terms: -9 + 9 + 2x + 12x = -2(x + 9) Combine like terms: -9 + 9 = 0 0 + 2x + 12x = -2(x + 9) 2x + 12x = -2(x + 9) Combine like terms: 2x + 12x = 14x 14x = -2(x + 9) Reorder the terms: 14x = -2(9 + x) 14x = (9 * -2 + x * -2) 14x = (-18 + -2x) Solving 14x = -18 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 14x + 2x = -18 + -2x + 2x Combine like terms: 14x + 2x = 16x 16x = -18 + -2x + 2x Combine like terms: -2x + 2x = 0 16x = -18 + 0 16x = -18 Divide each side by '16'. x = -1.125 Simplifying x = -1.125
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