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Simplifying 5(9 + 2x) = 5x + 10 (9 * 5 + 2x * 5) = 5x + 10 (45 + 10x) = 5x + 10 Reorder the terms: 45 + 10x = 10 + 5x Solving 45 + 10x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 45 + 10x + -5x = 10 + 5x + -5x Combine like terms: 10x + -5x = 5x 45 + 5x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 45 + 5x = 10 + 0 45 + 5x = 10 Add '-45' to each side of the equation. 45 + -45 + 5x = 10 + -45 Combine like terms: 45 + -45 = 0 0 + 5x = 10 + -45 5x = 10 + -45 Combine like terms: 10 + -45 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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