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