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Simplifying 3(2x + -6) = 2(5x + -9) Reorder the terms: 3(-6 + 2x) = 2(5x + -9) (-6 * 3 + 2x * 3) = 2(5x + -9) (-18 + 6x) = 2(5x + -9) Reorder the terms: -18 + 6x = 2(-9 + 5x) -18 + 6x = (-9 * 2 + 5x * 2) -18 + 6x = (-18 + 10x) Add '18' to each side of the equation. -18 + 18 + 6x = -18 + 18 + 10x Combine like terms: -18 + 18 = 0 0 + 6x = -18 + 18 + 10x 6x = -18 + 18 + 10x Combine like terms: -18 + 18 = 0 6x = 0 + 10x 6x = 10x Solving 6x = 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. 6x + -10x = 10x + -10x Combine like terms: 6x + -10x = -4x -4x = 10x + -10x Combine like terms: 10x + -10x = 0 -4x = 0 Divide each side by '-4'. x = 0 Simplifying x = 0
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