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Simplifying (3x + -6) + 15 = 6(x + 3) Reorder the terms: (-6 + 3x) + 15 = 6(x + 3) Remove parenthesis around (-6 + 3x) -6 + 3x + 15 = 6(x + 3) Reorder the terms: -6 + 15 + 3x = 6(x + 3) Combine like terms: -6 + 15 = 9 9 + 3x = 6(x + 3) Reorder the terms: 9 + 3x = 6(3 + x) 9 + 3x = (3 * 6 + x * 6) 9 + 3x = (18 + 6x) Solving 9 + 3x = 18 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9 + 3x + -6x = 18 + 6x + -6x Combine like terms: 3x + -6x = -3x 9 + -3x = 18 + 6x + -6x Combine like terms: 6x + -6x = 0 9 + -3x = 18 + 0 9 + -3x = 18 Add '-9' to each side of the equation. 9 + -9 + -3x = 18 + -9 Combine like terms: 9 + -9 = 0 0 + -3x = 18 + -9 -3x = 18 + -9 Combine like terms: 18 + -9 = 9 -3x = 9 Divide each side by '-3'. x = -3 Simplifying x = -3
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