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Simplifying 6(2x + 4) = 2(4x + -2) Reorder the terms: 6(4 + 2x) = 2(4x + -2) (4 * 6 + 2x * 6) = 2(4x + -2) (24 + 12x) = 2(4x + -2) Reorder the terms: 24 + 12x = 2(-2 + 4x) 24 + 12x = (-2 * 2 + 4x * 2) 24 + 12x = (-4 + 8x) Solving 24 + 12x = -4 + 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. 24 + 12x + -8x = -4 + 8x + -8x Combine like terms: 12x + -8x = 4x 24 + 4x = -4 + 8x + -8x Combine like terms: 8x + -8x = 0 24 + 4x = -4 + 0 24 + 4x = -4 Add '-24' to each side of the equation. 24 + -24 + 4x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 4x = -4 + -24 4x = -4 + -24 Combine like terms: -4 + -24 = -28 4x = -28 Divide each side by '4'. x = -7 Simplifying x = -7
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