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Simplifying 6(2x + 4) = 3x + -1(4 + -2x) Reorder the terms: 6(4 + 2x) = 3x + -1(4 + -2x) (4 * 6 + 2x * 6) = 3x + -1(4 + -2x) (24 + 12x) = 3x + -1(4 + -2x) 24 + 12x = 3x + (4 * -1 + -2x * -1) 24 + 12x = 3x + (-4 + 2x) Reorder the terms: 24 + 12x = -4 + 3x + 2x Combine like terms: 3x + 2x = 5x 24 + 12x = -4 + 5x Solving 24 + 12x = -4 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 24 + 12x + -5x = -4 + 5x + -5x Combine like terms: 12x + -5x = 7x 24 + 7x = -4 + 5x + -5x Combine like terms: 5x + -5x = 0 24 + 7x = -4 + 0 24 + 7x = -4 Add '-24' to each side of the equation. 24 + -24 + 7x = -4 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = -4 + -24 7x = -4 + -24 Combine like terms: -4 + -24 = -28 7x = -28 Divide each side by '7'. x = -4 Simplifying x = -4
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