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Simplifying 2(2x + -9) = 3(3x + 4) Reorder the terms: 2(-9 + 2x) = 3(3x + 4) (-9 * 2 + 2x * 2) = 3(3x + 4) (-18 + 4x) = 3(3x + 4) Reorder the terms: -18 + 4x = 3(4 + 3x) -18 + 4x = (4 * 3 + 3x * 3) -18 + 4x = (12 + 9x) Solving -18 + 4x = 12 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -18 + 4x + -9x = 12 + 9x + -9x Combine like terms: 4x + -9x = -5x -18 + -5x = 12 + 9x + -9x Combine like terms: 9x + -9x = 0 -18 + -5x = 12 + 0 -18 + -5x = 12 Add '18' to each side of the equation. -18 + 18 + -5x = 12 + 18 Combine like terms: -18 + 18 = 0 0 + -5x = 12 + 18 -5x = 12 + 18 Combine like terms: 12 + 18 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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