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Simplifying 2(2x + -3) = 3(x + -2) Reorder the terms: 2(-3 + 2x) = 3(x + -2) (-3 * 2 + 2x * 2) = 3(x + -2) (-6 + 4x) = 3(x + -2) Reorder the terms: -6 + 4x = 3(-2 + x) -6 + 4x = (-2 * 3 + x * 3) -6 + 4x = (-6 + 3x) Add '6' to each side of the equation. -6 + 6 + 4x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 0 + 4x = -6 + 6 + 3x 4x = -6 + 6 + 3x Combine like terms: -6 + 6 = 0 4x = 0 + 3x 4x = 3x Solving 4x = 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4x + -3x = 3x + -3x Combine like terms: 4x + -3x = 1x 1x = 3x + -3x Combine like terms: 3x + -3x = 0 1x = 0 Divide each side by '1'. x = 0 Simplifying x = 0
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