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