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Simplifying (15 + 6x + -9) + -1(15 + 6x + 6) = 5x Reorder the terms: (15 + -9 + 6x) + -1(15 + 6x + 6) = 5x Combine like terms: 15 + -9 = 6 (6 + 6x) + -1(15 + 6x + 6) = 5x Remove parenthesis around (6 + 6x) 6 + 6x + -1(15 + 6x + 6) = 5x Reorder the terms: 6 + 6x + -1(15 + 6 + 6x) = 5x Combine like terms: 15 + 6 = 21 6 + 6x + -1(21 + 6x) = 5x 6 + 6x + (21 * -1 + 6x * -1) = 5x 6 + 6x + (-21 + -6x) = 5x Reorder the terms: 6 + -21 + 6x + -6x = 5x Combine like terms: 6 + -21 = -15 -15 + 6x + -6x = 5x Combine like terms: 6x + -6x = 0 -15 + 0 = 5x -15 = 5x Solving -15 = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -15 + -5x = 5x + -5x Combine like terms: 5x + -5x = 0 -15 + -5x = 0 Add '15' to each side of the equation. -15 + 15 + -5x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -5x = 0 + 15 -5x = 0 + 15 Combine like terms: 0 + 15 = 15 -5x = 15 Divide each side by '-5'. x = -3 Simplifying x = -3
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