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Simplifying (6 + -6x + -6x) + 3(6x + 7) = 15 Combine like terms: -6x + -6x = -12x (6 + -12x) + 3(6x + 7) = 15 Remove parenthesis around (6 + -12x) 6 + -12x + 3(6x + 7) = 15 Reorder the terms: 6 + -12x + 3(7 + 6x) = 15 6 + -12x + (7 * 3 + 6x * 3) = 15 6 + -12x + (21 + 18x) = 15 Reorder the terms: 6 + 21 + -12x + 18x = 15 Combine like terms: 6 + 21 = 27 27 + -12x + 18x = 15 Combine like terms: -12x + 18x = 6x 27 + 6x = 15 Solving 27 + 6x = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 6x = 15 + -27 Combine like terms: 27 + -27 = 0 0 + 6x = 15 + -27 6x = 15 + -27 Combine like terms: 15 + -27 = -12 6x = -12 Divide each side by '6'. x = -2 Simplifying x = -2
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