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Simplifying 3(2 + 4x) = 1 + -1(9 + -5x) (2 * 3 + 4x * 3) = 1 + -1(9 + -5x) (6 + 12x) = 1 + -1(9 + -5x) 6 + 12x = 1 + (9 * -1 + -5x * -1) 6 + 12x = 1 + (-9 + 5x) Combine like terms: 1 + -9 = -8 6 + 12x = -8 + 5x Solving 6 + 12x = -8 + 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. 6 + 12x + -5x = -8 + 5x + -5x Combine like terms: 12x + -5x = 7x 6 + 7x = -8 + 5x + -5x Combine like terms: 5x + -5x = 0 6 + 7x = -8 + 0 6 + 7x = -8 Add '-6' to each side of the equation. 6 + -6 + 7x = -8 + -6 Combine like terms: 6 + -6 = 0 0 + 7x = -8 + -6 7x = -8 + -6 Combine like terms: -8 + -6 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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