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Simplifying -6(2x + 1) = 9(-2x + -2) Reorder the terms: -6(1 + 2x) = 9(-2x + -2) (1 * -6 + 2x * -6) = 9(-2x + -2) (-6 + -12x) = 9(-2x + -2) Reorder the terms: -6 + -12x = 9(-2 + -2x) -6 + -12x = (-2 * 9 + -2x * 9) -6 + -12x = (-18 + -18x) Solving -6 + -12x = -18 + -18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18x' to each side of the equation. -6 + -12x + 18x = -18 + -18x + 18x Combine like terms: -12x + 18x = 6x -6 + 6x = -18 + -18x + 18x Combine like terms: -18x + 18x = 0 -6 + 6x = -18 + 0 -6 + 6x = -18 Add '6' to each side of the equation. -6 + 6 + 6x = -18 + 6 Combine like terms: -6 + 6 = 0 0 + 6x = -18 + 6 6x = -18 + 6 Combine like terms: -18 + 6 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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