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