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Simplifying 6(2x + 9) = -8 + 2(x + -9) Reorder the terms: 6(9 + 2x) = -8 + 2(x + -9) (9 * 6 + 2x * 6) = -8 + 2(x + -9) (54 + 12x) = -8 + 2(x + -9) Reorder the terms: 54 + 12x = -8 + 2(-9 + x) 54 + 12x = -8 + (-9 * 2 + x * 2) 54 + 12x = -8 + (-18 + 2x) Combine like terms: -8 + -18 = -26 54 + 12x = -26 + 2x Solving 54 + 12x = -26 + 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. 54 + 12x + -2x = -26 + 2x + -2x Combine like terms: 12x + -2x = 10x 54 + 10x = -26 + 2x + -2x Combine like terms: 2x + -2x = 0 54 + 10x = -26 + 0 54 + 10x = -26 Add '-54' to each side of the equation. 54 + -54 + 10x = -26 + -54 Combine like terms: 54 + -54 = 0 0 + 10x = -26 + -54 10x = -26 + -54 Combine like terms: -26 + -54 = -80 10x = -80 Divide each side by '10'. x = -8 Simplifying x = -8
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