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Simplifying 3(3x + 5) = 2(x + 25) Reorder the terms: 3(5 + 3x) = 2(x + 25) (5 * 3 + 3x * 3) = 2(x + 25) (15 + 9x) = 2(x + 25) Reorder the terms: 15 + 9x = 2(25 + x) 15 + 9x = (25 * 2 + x * 2) 15 + 9x = (50 + 2x) Solving 15 + 9x = 50 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 15 + 9x + -2x = 50 + 2x + -2x Combine like terms: 9x + -2x = 7x 15 + 7x = 50 + 2x + -2x Combine like terms: 2x + -2x = 0 15 + 7x = 50 + 0 15 + 7x = 50 Add '-15' to each side of the equation. 15 + -15 + 7x = 50 + -15 Combine like terms: 15 + -15 = 0 0 + 7x = 50 + -15 7x = 50 + -15 Combine like terms: 50 + -15 = 35 7x = 35 Divide each side by '7'. x = 5 Simplifying x = 5
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