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Simplifying -2(-2x + 1) = 2x + 12 + -5x Reorder the terms: -2(1 + -2x) = 2x + 12 + -5x (1 * -2 + -2x * -2) = 2x + 12 + -5x (-2 + 4x) = 2x + 12 + -5x Reorder the terms: -2 + 4x = 12 + 2x + -5x Combine like terms: 2x + -5x = -3x -2 + 4x = 12 + -3x Solving -2 + 4x = 12 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -2 + 4x + 3x = 12 + -3x + 3x Combine like terms: 4x + 3x = 7x -2 + 7x = 12 + -3x + 3x Combine like terms: -3x + 3x = 0 -2 + 7x = 12 + 0 -2 + 7x = 12 Add '2' to each side of the equation. -2 + 2 + 7x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 7x = 12 + 2 7x = 12 + 2 Combine like terms: 12 + 2 = 14 7x = 14 Divide each side by '7'. x = 2 Simplifying x = 2
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