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Simplifying 9(x + 5) + 7(x + 5) = 5x + -5 Reorder the terms: 9(5 + x) + 7(x + 5) = 5x + -5 (5 * 9 + x * 9) + 7(x + 5) = 5x + -5 (45 + 9x) + 7(x + 5) = 5x + -5 Reorder the terms: 45 + 9x + 7(5 + x) = 5x + -5 45 + 9x + (5 * 7 + x * 7) = 5x + -5 45 + 9x + (35 + 7x) = 5x + -5 Reorder the terms: 45 + 35 + 9x + 7x = 5x + -5 Combine like terms: 45 + 35 = 80 80 + 9x + 7x = 5x + -5 Combine like terms: 9x + 7x = 16x 80 + 16x = 5x + -5 Reorder the terms: 80 + 16x = -5 + 5x Solving 80 + 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. 80 + 16x + -5x = -5 + 5x + -5x Combine like terms: 16x + -5x = 11x 80 + 11x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 80 + 11x = -5 + 0 80 + 11x = -5 Add '-80' to each side of the equation. 80 + -80 + 11x = -5 + -80 Combine like terms: 80 + -80 = 0 0 + 11x = -5 + -80 11x = -5 + -80 Combine like terms: -5 + -80 = -85 11x = -85 Divide each side by '11'. x = -7.727272727 Simplifying x = -7.727272727
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