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Simplifying 6x + 9(5 + x) = -75 6x + (5 * 9 + x * 9) = -75 6x + (45 + 9x) = -75 Reorder the terms: 45 + 6x + 9x = -75 Combine like terms: 6x + 9x = 15x 45 + 15x = -75 Solving 45 + 15x = -75 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-45' to each side of the equation. 45 + -45 + 15x = -75 + -45 Combine like terms: 45 + -45 = 0 0 + 15x = -75 + -45 15x = -75 + -45 Combine like terms: -75 + -45 = -120 15x = -120 Divide each side by '15'. x = -8 Simplifying x = -8
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