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Simplifying 6(12 + 2x) = 4(2x + -2) (12 * 6 + 2x * 6) = 4(2x + -2) (72 + 12x) = 4(2x + -2) Reorder the terms: 72 + 12x = 4(-2 + 2x) 72 + 12x = (-2 * 4 + 2x * 4) 72 + 12x = (-8 + 8x) Solving 72 + 12x = -8 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 72 + 12x + -8x = -8 + 8x + -8x Combine like terms: 12x + -8x = 4x 72 + 4x = -8 + 8x + -8x Combine like terms: 8x + -8x = 0 72 + 4x = -8 + 0 72 + 4x = -8 Add '-72' to each side of the equation. 72 + -72 + 4x = -8 + -72 Combine like terms: 72 + -72 = 0 0 + 4x = -8 + -72 4x = -8 + -72 Combine like terms: -8 + -72 = -80 4x = -80 Divide each side by '4'. x = -20 Simplifying x = -20
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