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Simplifying 2(3 + -1x + 2) = 12x + -4 Reorder the terms: 2(3 + 2 + -1x) = 12x + -4 Combine like terms: 3 + 2 = 5 2(5 + -1x) = 12x + -4 (5 * 2 + -1x * 2) = 12x + -4 (10 + -2x) = 12x + -4 Reorder the terms: 10 + -2x = -4 + 12x Solving 10 + -2x = -4 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 10 + -2x + -12x = -4 + 12x + -12x Combine like terms: -2x + -12x = -14x 10 + -14x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 10 + -14x = -4 + 0 10 + -14x = -4 Add '-10' to each side of the equation. 10 + -10 + -14x = -4 + -10 Combine like terms: 10 + -10 = 0 0 + -14x = -4 + -10 -14x = -4 + -10 Combine like terms: -4 + -10 = -14 -14x = -14 Divide each side by '-14'. x = 1 Simplifying x = 1
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