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Simplifying 3(4x + -6) = 9(5x + -2) Reorder the terms: 3(-6 + 4x) = 9(5x + -2) (-6 * 3 + 4x * 3) = 9(5x + -2) (-18 + 12x) = 9(5x + -2) Reorder the terms: -18 + 12x = 9(-2 + 5x) -18 + 12x = (-2 * 9 + 5x * 9) -18 + 12x = (-18 + 45x) Add '18' to each side of the equation. -18 + 18 + 12x = -18 + 18 + 45x Combine like terms: -18 + 18 = 0 0 + 12x = -18 + 18 + 45x 12x = -18 + 18 + 45x Combine like terms: -18 + 18 = 0 12x = 0 + 45x 12x = 45x Solving 12x = 45x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45x' to each side of the equation. 12x + -45x = 45x + -45x Combine like terms: 12x + -45x = -33x -33x = 45x + -45x Combine like terms: 45x + -45x = 0 -33x = 0 Divide each side by '-33'. x = 0 Simplifying x = 0
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