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Simplifying 6(2x + 4) = 2(-1x + -2) Reorder the terms: 6(4 + 2x) = 2(-1x + -2) (4 * 6 + 2x * 6) = 2(-1x + -2) (24 + 12x) = 2(-1x + -2) Reorder the terms: 24 + 12x = 2(-2 + -1x) 24 + 12x = (-2 * 2 + -1x * 2) 24 + 12x = (-4 + -2x) Solving 24 + 12x = -4 + -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. 24 + 12x + 2x = -4 + -2x + 2x Combine like terms: 12x + 2x = 14x 24 + 14x = -4 + -2x + 2x Combine like terms: -2x + 2x = 0 24 + 14x = -4 + 0 24 + 14x = -4 Add '-24' to each side of the equation. 24 + -24 + 14x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 14x = -4 + -24 14x = -4 + -24 Combine like terms: -4 + -24 = -28 14x = -28 Divide each side by '14'. x = -2 Simplifying x = -2
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