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Simplifying -2(x + -1) + 4x = 3(2x + -2) Reorder the terms: -2(-1 + x) + 4x = 3(2x + -2) (-1 * -2 + x * -2) + 4x = 3(2x + -2) (2 + -2x) + 4x = 3(2x + -2) Combine like terms: -2x + 4x = 2x 2 + 2x = 3(2x + -2) Reorder the terms: 2 + 2x = 3(-2 + 2x) 2 + 2x = (-2 * 3 + 2x * 3) 2 + 2x = (-6 + 6x) Solving 2 + 2x = -6 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 2 + 2x + -6x = -6 + 6x + -6x Combine like terms: 2x + -6x = -4x 2 + -4x = -6 + 6x + -6x Combine like terms: 6x + -6x = 0 2 + -4x = -6 + 0 2 + -4x = -6 Add '-2' to each side of the equation. 2 + -2 + -4x = -6 + -2 Combine like terms: 2 + -2 = 0 0 + -4x = -6 + -2 -4x = -6 + -2 Combine like terms: -6 + -2 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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