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Simplifying 5(x + 5) = 9x + 13 Reorder the terms: 5(5 + x) = 9x + 13 (5 * 5 + x * 5) = 9x + 13 (25 + 5x) = 9x + 13 Reorder the terms: 25 + 5x = 13 + 9x Solving 25 + 5x = 13 + 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 + 5x + -9x = 13 + 9x + -9x Combine like terms: 5x + -9x = -4x 25 + -4x = 13 + 9x + -9x Combine like terms: 9x + -9x = 0 25 + -4x = 13 + 0 25 + -4x = 13 Add '-25' to each side of the equation. 25 + -25 + -4x = 13 + -25 Combine like terms: 25 + -25 = 0 0 + -4x = 13 + -25 -4x = 13 + -25 Combine like terms: 13 + -25 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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