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Simplifying 2x + (x + 6) = 12x + 15 Reorder the terms: 2x + (6 + x) = 12x + 15 Remove parenthesis around (6 + x) 2x + 6 + x = 12x + 15 Reorder the terms: 6 + 2x + x = 12x + 15 Combine like terms: 2x + x = 3x 6 + 3x = 12x + 15 Reorder the terms: 6 + 3x = 15 + 12x Solving 6 + 3x = 15 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 6 + 3x + -12x = 15 + 12x + -12x Combine like terms: 3x + -12x = -9x 6 + -9x = 15 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -9x = 15 + 0 6 + -9x = 15 Add '-6' to each side of the equation. 6 + -6 + -9x = 15 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = 15 + -6 -9x = 15 + -6 Combine like terms: 15 + -6 = 9 -9x = 9 Divide each side by '-9'. x = -1 Simplifying x = -1
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