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Simplifying -2(-2x + 1) = 10 + -2x Reorder the terms: -2(1 + -2x) = 10 + -2x (1 * -2 + -2x * -2) = 10 + -2x (-2 + 4x) = 10 + -2x Solving -2 + 4x = 10 + -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 = 10 + -2x + 2x Combine like terms: 4x + 2x = 6x -2 + 6x = 10 + -2x + 2x Combine like terms: -2x + 2x = 0 -2 + 6x = 10 + 0 -2 + 6x = 10 Add '2' to each side of the equation. -2 + 2 + 6x = 10 + 2 Combine like terms: -2 + 2 = 0 0 + 6x = 10 + 2 6x = 10 + 2 Combine like terms: 10 + 2 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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