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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 = -42x 12 + -42x = -18 + 18x + -18x Combine like terms: 18x + -18x = 0 12 + -42x = -18 + 0 12 + -42x = -18 Add '-12' to each side of the equation. 12 + -12 + -42x = -18 + -12 Combine like terms: 12 + -12 = 0 0 + -42x = -18 + -12 -42x = -18 + -12 Combine like terms: -18 + -12 = -30 -42x = -30 Divide each side by '-42'. x = 0.7142857143 Simplifying x = 0.7142857143
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