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Simplifying 2 + 2(1 + -2x) = 12 + -6x 2 + (1 * 2 + -2x * 2) = 12 + -6x 2 + (2 + -4x) = 12 + -6x Combine like terms: 2 + 2 = 4 4 + -4x = 12 + -6x Solving 4 + -4x = 12 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 4 + -4x + 6x = 12 + -6x + 6x Combine like terms: -4x + 6x = 2x 4 + 2x = 12 + -6x + 6x Combine like terms: -6x + 6x = 0 4 + 2x = 12 + 0 4 + 2x = 12 Add '-4' to each side of the equation. 4 + -4 + 2x = 12 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 12 + -4 2x = 12 + -4 Combine like terms: 12 + -4 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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