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Simplifying 2(3 + -2x) = 2(6 + -1x) (3 * 2 + -2x * 2) = 2(6 + -1x) (6 + -4x) = 2(6 + -1x) 6 + -4x = (6 * 2 + -1x * 2) 6 + -4x = (12 + -2x) Solving 6 + -4x = 12 + -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. 6 + -4x + 2x = 12 + -2x + 2x Combine like terms: -4x + 2x = -2x 6 + -2x = 12 + -2x + 2x Combine like terms: -2x + 2x = 0 6 + -2x = 12 + 0 6 + -2x = 12 Add '-6' to each side of the equation. 6 + -6 + -2x = 12 + -6 Combine like terms: 6 + -6 = 0 0 + -2x = 12 + -6 -2x = 12 + -6 Combine like terms: 12 + -6 = 6 -2x = 6 Divide each side by '-2'. x = -3 Simplifying x = -3
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