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Simplifying 3(5x + 3) + 25 = 4(5 + 2x) Reorder the terms: 3(3 + 5x) + 25 = 4(5 + 2x) (3 * 3 + 5x * 3) + 25 = 4(5 + 2x) (9 + 15x) + 25 = 4(5 + 2x) Reorder the terms: 9 + 25 + 15x = 4(5 + 2x) Combine like terms: 9 + 25 = 34 34 + 15x = 4(5 + 2x) 34 + 15x = (5 * 4 + 2x * 4) 34 + 15x = (20 + 8x) Solving 34 + 15x = 20 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 34 + 15x + -8x = 20 + 8x + -8x Combine like terms: 15x + -8x = 7x 34 + 7x = 20 + 8x + -8x Combine like terms: 8x + -8x = 0 34 + 7x = 20 + 0 34 + 7x = 20 Add '-34' to each side of the equation. 34 + -34 + 7x = 20 + -34 Combine like terms: 34 + -34 = 0 0 + 7x = 20 + -34 7x = 20 + -34 Combine like terms: 20 + -34 = -14 7x = -14 Divide each side by '7'. x = -2 Simplifying x = -2
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