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Simplifying 8 + -2(3 + -2x) = 2(x + -1) 8 + (3 * -2 + -2x * -2) = 2(x + -1) 8 + (-6 + 4x) = 2(x + -1) Combine like terms: 8 + -6 = 2 2 + 4x = 2(x + -1) Reorder the terms: 2 + 4x = 2(-1 + x) 2 + 4x = (-1 * 2 + x * 2) 2 + 4x = (-2 + 2x) Solving 2 + 4x = -2 + 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. 2 + 4x + -2x = -2 + 2x + -2x Combine like terms: 4x + -2x = 2x 2 + 2x = -2 + 2x + -2x Combine like terms: 2x + -2x = 0 2 + 2x = -2 + 0 2 + 2x = -2 Add '-2' to each side of the equation. 2 + -2 + 2x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -2 + -2 2x = -2 + -2 Combine like terms: -2 + -2 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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