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Simplifying (-2 + 2x) + -2 = 2(-2 + 2x) + -4 Remove parenthesis around (-2 + 2x) -2 + 2x + -2 = 2(-2 + 2x) + -4 Reorder the terms: -2 + -2 + 2x = 2(-2 + 2x) + -4 Combine like terms: -2 + -2 = -4 -4 + 2x = 2(-2 + 2x) + -4 -4 + 2x = (-2 * 2 + 2x * 2) + -4 -4 + 2x = (-4 + 4x) + -4 Reorder the terms: -4 + 2x = -4 + -4 + 4x Combine like terms: -4 + -4 = -8 -4 + 2x = -8 + 4x Solving -4 + 2x = -8 + 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. -4 + 2x + -4x = -8 + 4x + -4x Combine like terms: 2x + -4x = -2x -4 + -2x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + -2x = -8 + 0 -4 + -2x = -8 Add '4' to each side of the equation. -4 + 4 + -2x = -8 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = -8 + 4 -2x = -8 + 4 Combine like terms: -8 + 4 = -4 -2x = -4 Divide each side by '-2'. x = 2 Simplifying x = 2
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