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Simplifying 2(2x + -1) = 3(3x + -2) Reorder the terms: 2(-1 + 2x) = 3(3x + -2) (-1 * 2 + 2x * 2) = 3(3x + -2) (-2 + 4x) = 3(3x + -2) Reorder the terms: -2 + 4x = 3(-2 + 3x) -2 + 4x = (-2 * 3 + 3x * 3) -2 + 4x = (-6 + 9x) Solving -2 + 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. -2 + 4x + -9x = -6 + 9x + -9x Combine like terms: 4x + -9x = -5x -2 + -5x = -6 + 9x + -9x Combine like terms: 9x + -9x = 0 -2 + -5x = -6 + 0 -2 + -5x = -6 Add '2' to each side of the equation. -2 + 2 + -5x = -6 + 2 Combine like terms: -2 + 2 = 0 0 + -5x = -6 + 2 -5x = -6 + 2 Combine like terms: -6 + 2 = -4 -5x = -4 Divide each side by '-5'. x = 0.8 Simplifying x = 0.8
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