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