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Simplifying 5(3x + 9) = -47 + 2 Reorder the terms: 5(9 + 3x) = -47 + 2 (9 * 5 + 3x * 5) = -47 + 2 (45 + 15x) = -47 + 2 Combine like terms: -47 + 2 = -45 45 + 15x = -45 Solving 45 + 15x = -45 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 = -45 + -45 Combine like terms: 45 + -45 = 0 0 + 15x = -45 + -45 15x = -45 + -45 Combine like terms: -45 + -45 = -90 15x = -90 Divide each side by '15'. x = -6 Simplifying x = -6
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