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Simplifying 5(2x + 5) = 9x + 2 Reorder the terms: 5(5 + 2x) = 9x + 2 (5 * 5 + 2x * 5) = 9x + 2 (25 + 10x) = 9x + 2 Reorder the terms: 25 + 10x = 2 + 9x Solving 25 + 10x = 2 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 25 + 10x + -9x = 2 + 9x + -9x Combine like terms: 10x + -9x = 1x 25 + 1x = 2 + 9x + -9x Combine like terms: 9x + -9x = 0 25 + 1x = 2 + 0 25 + 1x = 2 Add '-25' to each side of the equation. 25 + -25 + 1x = 2 + -25 Combine like terms: 25 + -25 = 0 0 + 1x = 2 + -25 1x = 2 + -25 Combine like terms: 2 + -25 = -23 1x = -23 Divide each side by '1'. x = -23 Simplifying x = -23
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