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Simplifying 3(6 + -4x) = -2(5x + -9) (6 * 3 + -4x * 3) = -2(5x + -9) (18 + -12x) = -2(5x + -9) Reorder the terms: 18 + -12x = -2(-9 + 5x) 18 + -12x = (-9 * -2 + 5x * -2) 18 + -12x = (18 + -10x) Add '-18' to each side of the equation. 18 + -18 + -12x = 18 + -18 + -10x Combine like terms: 18 + -18 = 0 0 + -12x = 18 + -18 + -10x -12x = 18 + -18 + -10x Combine like terms: 18 + -18 = 0 -12x = 0 + -10x -12x = -10x Solving -12x = -10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. -12x + 10x = -10x + 10x Combine like terms: -12x + 10x = -2x -2x = -10x + 10x Combine like terms: -10x + 10x = 0 -2x = 0 Divide each side by '-2'. x = 0 Simplifying x = 0
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