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Simplifying 2x + -2(-2x + 1) = 2 + -2(2x + 12) Reorder the terms: 2x + -2(1 + -2x) = 2 + -2(2x + 12) 2x + (1 * -2 + -2x * -2) = 2 + -2(2x + 12) 2x + (-2 + 4x) = 2 + -2(2x + 12) Reorder the terms: -2 + 2x + 4x = 2 + -2(2x + 12) Combine like terms: 2x + 4x = 6x -2 + 6x = 2 + -2(2x + 12) Reorder the terms: -2 + 6x = 2 + -2(12 + 2x) -2 + 6x = 2 + (12 * -2 + 2x * -2) -2 + 6x = 2 + (-24 + -4x) Combine like terms: 2 + -24 = -22 -2 + 6x = -22 + -4x Solving -2 + 6x = -22 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + 6x + 4x = -22 + -4x + 4x Combine like terms: 6x + 4x = 10x -2 + 10x = -22 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 10x = -22 + 0 -2 + 10x = -22 Add '2' to each side of the equation. -2 + 2 + 10x = -22 + 2 Combine like terms: -2 + 2 = 0 0 + 10x = -22 + 2 10x = -22 + 2 Combine like terms: -22 + 2 = -20 10x = -20 Divide each side by '10'. x = -2 Simplifying x = -2
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