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Simplifying 9(2x + 3) = 2(x + -4) + -6 Reorder the terms: 9(3 + 2x) = 2(x + -4) + -6 (3 * 9 + 2x * 9) = 2(x + -4) + -6 (27 + 18x) = 2(x + -4) + -6 Reorder the terms: 27 + 18x = 2(-4 + x) + -6 27 + 18x = (-4 * 2 + x * 2) + -6 27 + 18x = (-8 + 2x) + -6 Reorder the terms: 27 + 18x = -8 + -6 + 2x Combine like terms: -8 + -6 = -14 27 + 18x = -14 + 2x Solving 27 + 18x = -14 + 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. 27 + 18x + -2x = -14 + 2x + -2x Combine like terms: 18x + -2x = 16x 27 + 16x = -14 + 2x + -2x Combine like terms: 2x + -2x = 0 27 + 16x = -14 + 0 27 + 16x = -14 Add '-27' to each side of the equation. 27 + -27 + 16x = -14 + -27 Combine like terms: 27 + -27 = 0 0 + 16x = -14 + -27 16x = -14 + -27 Combine like terms: -14 + -27 = -41 16x = -41 Divide each side by '16'. x = -2.5625 Simplifying x = -2.5625
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