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