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