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Simplifying 5(3x + 9) = -41 + 71 Reorder the terms: 5(9 + 3x) = -41 + 71 (9 * 5 + 3x * 5) = -41 + 71 (45 + 15x) = -41 + 71 Combine like terms: -41 + 71 = 30 45 + 15x = 30 Solving 45 + 15x = 30 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 = 30 + -45 Combine like terms: 45 + -45 = 0 0 + 15x = 30 + -45 15x = 30 + -45 Combine like terms: 30 + -45 = -15 15x = -15 Divide each side by '15'. x = -1 Simplifying x = -1
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