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Simplifying -2(-6 + 4x) = -2(x + 6) (-6 * -2 + 4x * -2) = -2(x + 6) (12 + -8x) = -2(x + 6) Reorder the terms: 12 + -8x = -2(6 + x) 12 + -8x = (6 * -2 + x * -2) 12 + -8x = (-12 + -2x) Solving 12 + -8x = -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. 12 + -8x + 2x = -12 + -2x + 2x Combine like terms: -8x + 2x = -6x 12 + -6x = -12 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + -6x = -12 + 0 12 + -6x = -12 Add '-12' to each side of the equation. 12 + -12 + -6x = -12 + -12 Combine like terms: 12 + -12 = 0 0 + -6x = -12 + -12 -6x = -12 + -12 Combine like terms: -12 + -12 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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