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Simplifying 9(x + 6) + 2(x + 6) = 5x + -5 Reorder the terms: 9(6 + x) + 2(x + 6) = 5x + -5 (6 * 9 + x * 9) + 2(x + 6) = 5x + -5 (54 + 9x) + 2(x + 6) = 5x + -5 Reorder the terms: 54 + 9x + 2(6 + x) = 5x + -5 54 + 9x + (6 * 2 + x * 2) = 5x + -5 54 + 9x + (12 + 2x) = 5x + -5 Reorder the terms: 54 + 12 + 9x + 2x = 5x + -5 Combine like terms: 54 + 12 = 66 66 + 9x + 2x = 5x + -5 Combine like terms: 9x + 2x = 11x 66 + 11x = 5x + -5 Reorder the terms: 66 + 11x = -5 + 5x Solving 66 + 11x = -5 + 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. 66 + 11x + -5x = -5 + 5x + -5x Combine like terms: 11x + -5x = 6x 66 + 6x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 66 + 6x = -5 + 0 66 + 6x = -5 Add '-66' to each side of the equation. 66 + -66 + 6x = -5 + -66 Combine like terms: 66 + -66 = 0 0 + 6x = -5 + -66 6x = -5 + -66 Combine like terms: -5 + -66 = -71 6x = -71 Divide each side by '6'. x = -11.83333333 Simplifying x = -11.83333333
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