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Simplifying 2(3x + -9) = 3(4x + 5) Reorder the terms: 2(-9 + 3x) = 3(4x + 5) (-9 * 2 + 3x * 2) = 3(4x + 5) (-18 + 6x) = 3(4x + 5) Reorder the terms: -18 + 6x = 3(5 + 4x) -18 + 6x = (5 * 3 + 4x * 3) -18 + 6x = (15 + 12x) Solving -18 + 6x = 15 + 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 + 6x + -12x = 15 + 12x + -12x Combine like terms: 6x + -12x = -6x -18 + -6x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 -18 + -6x = 15 + 0 -18 + -6x = 15 Add '18' to each side of the equation. -18 + 18 + -6x = 15 + 18 Combine like terms: -18 + 18 = 0 0 + -6x = 15 + 18 -6x = 15 + 18 Combine like terms: 15 + 18 = 33 -6x = 33 Divide each side by '-6'. x = -5.5 Simplifying x = -5.5
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