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Simplifying 2(2x + -3) = 3(3x + 2) Reorder the terms: 2(-3 + 2x) = 3(3x + 2) (-3 * 2 + 2x * 2) = 3(3x + 2) (-6 + 4x) = 3(3x + 2) Reorder the terms: -6 + 4x = 3(2 + 3x) -6 + 4x = (2 * 3 + 3x * 3) -6 + 4x = (6 + 9x) Solving -6 + 4x = 6 + 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. -6 + 4x + -9x = 6 + 9x + -9x Combine like terms: 4x + -9x = -5x -6 + -5x = 6 + 9x + -9x Combine like terms: 9x + -9x = 0 -6 + -5x = 6 + 0 -6 + -5x = 6 Add '6' to each side of the equation. -6 + 6 + -5x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + -5x = 6 + 6 -5x = 6 + 6 Combine like terms: 6 + 6 = 12 -5x = 12 Divide each side by '-5'. x = -2.4 Simplifying x = -2.4
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