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Simplifying 5(2x + 5) = 3x + 32 Reorder the terms: 5(5 + 2x) = 3x + 32 (5 * 5 + 2x * 5) = 3x + 32 (25 + 10x) = 3x + 32 Reorder the terms: 25 + 10x = 32 + 3x Solving 25 + 10x = 32 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 25 + 10x + -3x = 32 + 3x + -3x Combine like terms: 10x + -3x = 7x 25 + 7x = 32 + 3x + -3x Combine like terms: 3x + -3x = 0 25 + 7x = 32 + 0 25 + 7x = 32 Add '-25' to each side of the equation. 25 + -25 + 7x = 32 + -25 Combine like terms: 25 + -25 = 0 0 + 7x = 32 + -25 7x = 32 + -25 Combine like terms: 32 + -25 = 7 7x = 7 Divide each side by '7'. x = 1 Simplifying x = 1
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