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Simplifying 3(4x + 2) = x + -6 Reorder the terms: 3(2 + 4x) = x + -6 (2 * 3 + 4x * 3) = x + -6 (6 + 12x) = x + -6 Reorder the terms: 6 + 12x = -6 + x Solving 6 + 12x = -6 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 6 + 12x + -1x = -6 + x + -1x Combine like terms: 12x + -1x = 11x 6 + 11x = -6 + x + -1x Combine like terms: x + -1x = 0 6 + 11x = -6 + 0 6 + 11x = -6 Add '-6' to each side of the equation. 6 + -6 + 11x = -6 + -6 Combine like terms: 6 + -6 = 0 0 + 11x = -6 + -6 11x = -6 + -6 Combine like terms: -6 + -6 = -12 11x = -12 Divide each side by '11'. x = -1.090909091 Simplifying x = -1.090909091
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