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Simplifying 5(2x + 9) = -37 + 22 Reorder the terms: 5(9 + 2x) = -37 + 22 (9 * 5 + 2x * 5) = -37 + 22 (45 + 10x) = -37 + 22 Combine like terms: -37 + 22 = -15 45 + 10x = -15 Solving 45 + 10x = -15 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 + 10x = -15 + -45 Combine like terms: 45 + -45 = 0 0 + 10x = -15 + -45 10x = -15 + -45 Combine like terms: -15 + -45 = -60 10x = -60 Divide each side by '10'. x = -6 Simplifying x = -6
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