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Simplifying 5(x + 5) = 15(x + 7) Reorder the terms: 5(5 + x) = 15(x + 7) (5 * 5 + x * 5) = 15(x + 7) (25 + 5x) = 15(x + 7) Reorder the terms: 25 + 5x = 15(7 + x) 25 + 5x = (7 * 15 + x * 15) 25 + 5x = (105 + 15x) Solving 25 + 5x = 105 + 15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. 25 + 5x + -15x = 105 + 15x + -15x Combine like terms: 5x + -15x = -10x 25 + -10x = 105 + 15x + -15x Combine like terms: 15x + -15x = 0 25 + -10x = 105 + 0 25 + -10x = 105 Add '-25' to each side of the equation. 25 + -25 + -10x = 105 + -25 Combine like terms: 25 + -25 = 0 0 + -10x = 105 + -25 -10x = 105 + -25 Combine like terms: 105 + -25 = 80 -10x = 80 Divide each side by '-10'. x = -8 Simplifying x = -8
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