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