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Simplifying -4(3 + -6x) = 9(2x + -2) (3 * -4 + -6x * -4) = 9(2x + -2) (-12 + 24x) = 9(2x + -2) Reorder the terms: -12 + 24x = 9(-2 + 2x) -12 + 24x = (-2 * 9 + 2x * 9) -12 + 24x = (-18 + 18x) Solving -12 + 24x = -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. -12 + 24x + -18x = -18 + 18x + -18x Combine like terms: 24x + -18x = 6x -12 + 6x = -18 + 18x + -18x Combine like terms: 18x + -18x = 0 -12 + 6x = -18 + 0 -12 + 6x = -18 Add '12' to each side of the equation. -12 + 12 + 6x = -18 + 12 Combine like terms: -12 + 12 = 0 0 + 6x = -18 + 12 6x = -18 + 12 Combine like terms: -18 + 12 = -6 6x = -6 Divide each side by '6'. x = -1 Simplifying x = -1
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