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Simplifying 9(x + 5) + 6(x + 5) = 7x + -7 Reorder the terms: 9(5 + x) + 6(x + 5) = 7x + -7 (5 * 9 + x * 9) + 6(x + 5) = 7x + -7 (45 + 9x) + 6(x + 5) = 7x + -7 Reorder the terms: 45 + 9x + 6(5 + x) = 7x + -7 45 + 9x + (5 * 6 + x * 6) = 7x + -7 45 + 9x + (30 + 6x) = 7x + -7 Reorder the terms: 45 + 30 + 9x + 6x = 7x + -7 Combine like terms: 45 + 30 = 75 75 + 9x + 6x = 7x + -7 Combine like terms: 9x + 6x = 15x 75 + 15x = 7x + -7 Reorder the terms: 75 + 15x = -7 + 7x Solving 75 + 15x = -7 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 75 + 15x + -7x = -7 + 7x + -7x Combine like terms: 15x + -7x = 8x 75 + 8x = -7 + 7x + -7x Combine like terms: 7x + -7x = 0 75 + 8x = -7 + 0 75 + 8x = -7 Add '-75' to each side of the equation. 75 + -75 + 8x = -7 + -75 Combine like terms: 75 + -75 = 0 0 + 8x = -7 + -75 8x = -7 + -75 Combine like terms: -7 + -75 = -82 8x = -82 Divide each side by '8'. x = -10.25 Simplifying x = -10.25
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