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Simplifying 9(x + 6) + 7(x + 6) = 5x + -5 Reorder the terms: 9(6 + x) + 7(x + 6) = 5x + -5 (6 * 9 + x * 9) + 7(x + 6) = 5x + -5 (54 + 9x) + 7(x + 6) = 5x + -5 Reorder the terms: 54 + 9x + 7(6 + x) = 5x + -5 54 + 9x + (6 * 7 + x * 7) = 5x + -5 54 + 9x + (42 + 7x) = 5x + -5 Reorder the terms: 54 + 42 + 9x + 7x = 5x + -5 Combine like terms: 54 + 42 = 96 96 + 9x + 7x = 5x + -5 Combine like terms: 9x + 7x = 16x 96 + 16x = 5x + -5 Reorder the terms: 96 + 16x = -5 + 5x Solving 96 + 16x = -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. 96 + 16x + -5x = -5 + 5x + -5x Combine like terms: 16x + -5x = 11x 96 + 11x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 96 + 11x = -5 + 0 96 + 11x = -5 Add '-96' to each side of the equation. 96 + -96 + 11x = -5 + -96 Combine like terms: 96 + -96 = 0 0 + 11x = -5 + -96 11x = -5 + -96 Combine like terms: -5 + -96 = -101 11x = -101 Divide each side by '11'. x = -9.181818182 Simplifying x = -9.181818182
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