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Simplifying 8 + -2(5 + -2x) = 2(x + -1) 8 + (5 * -2 + -2x * -2) = 2(x + -1) 8 + (-10 + 4x) = 2(x + -1) Combine like terms: 8 + -10 = -2 -2 + 4x = 2(x + -1) Reorder the terms: -2 + 4x = 2(-1 + x) -2 + 4x = (-1 * 2 + x * 2) -2 + 4x = (-2 + 2x) Add '2' to each side of the equation. -2 + 2 + 4x = -2 + 2 + 2x Combine like terms: -2 + 2 = 0 0 + 4x = -2 + 2 + 2x 4x = -2 + 2 + 2x Combine like terms: -2 + 2 = 0 4x = 0 + 2x 4x = 2x Solving 4x = 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. 4x + -2x = 2x + -2x Combine like terms: 4x + -2x = 2x 2x = 2x + -2x Combine like terms: 2x + -2x = 0 2x = 0 Divide each side by '2'. x = 0 Simplifying x = 0
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