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Simplifying 9(x + 5) + 6(x + 5) = 5x + -5 Reorder the terms: 9(5 + x) + 6(x + 5) = 5x + -5 (5 * 9 + x * 9) + 6(x + 5) = 5x + -5 (45 + 9x) + 6(x + 5) = 5x + -5 Reorder the terms: 45 + 9x + 6(5 + x) = 5x + -5 45 + 9x + (5 * 6 + x * 6) = 5x + -5 45 + 9x + (30 + 6x) = 5x + -5 Reorder the terms: 45 + 30 + 9x + 6x = 5x + -5 Combine like terms: 45 + 30 = 75 75 + 9x + 6x = 5x + -5 Combine like terms: 9x + 6x = 15x 75 + 15x = 5x + -5 Reorder the terms: 75 + 15x = -5 + 5x Solving 75 + 15x = -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. 75 + 15x + -5x = -5 + 5x + -5x Combine like terms: 15x + -5x = 10x 75 + 10x = -5 + 5x + -5x Combine like terms: 5x + -5x = 0 75 + 10x = -5 + 0 75 + 10x = -5 Add '-75' to each side of the equation. 75 + -75 + 10x = -5 + -75 Combine like terms: 75 + -75 = 0 0 + 10x = -5 + -75 10x = -5 + -75 Combine like terms: -5 + -75 = -80 10x = -80 Divide each side by '10'. x = -8 Simplifying x = -8
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