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Simplifying 3(6 + x) = -2(x + 9) + -8x (6 * 3 + x * 3) = -2(x + 9) + -8x (18 + 3x) = -2(x + 9) + -8x Reorder the terms: 18 + 3x = -2(9 + x) + -8x 18 + 3x = (9 * -2 + x * -2) + -8x 18 + 3x = (-18 + -2x) + -8x Combine like terms: -2x + -8x = -10x 18 + 3x = -18 + -10x Solving 18 + 3x = -18 + -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 18 + 3x + 10x = -18 + -10x + 10x Combine like terms: 3x + 10x = 13x 18 + 13x = -18 + -10x + 10x Combine like terms: -10x + 10x = 0 18 + 13x = -18 + 0 18 + 13x = -18 Add '-18' to each side of the equation. 18 + -18 + 13x = -18 + -18 Combine like terms: 18 + -18 = 0 0 + 13x = -18 + -18 13x = -18 + -18 Combine like terms: -18 + -18 = -36 13x = -36 Divide each side by '13'. x = -2.769230769 Simplifying x = -2.769230769
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