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Simplifying 3(6 + -4x) = 2(6x + -9) (6 * 3 + -4x * 3) = 2(6x + -9) (18 + -12x) = 2(6x + -9) Reorder the terms: 18 + -12x = 2(-9 + 6x) 18 + -12x = (-9 * 2 + 6x * 2) 18 + -12x = (-18 + 12x) Solving 18 + -12x = -18 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 18 + -12x + -12x = -18 + 12x + -12x Combine like terms: -12x + -12x = -24x 18 + -24x = -18 + 12x + -12x Combine like terms: 12x + -12x = 0 18 + -24x = -18 + 0 18 + -24x = -18 Add '-18' to each side of the equation. 18 + -18 + -24x = -18 + -18 Combine like terms: 18 + -18 = 0 0 + -24x = -18 + -18 -24x = -18 + -18 Combine like terms: -18 + -18 = -36 -24x = -36 Divide each side by '-24'. x = 1.5 Simplifying x = 1.5
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