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Simplifying 8x + 15 = (4x + 5) + (3x + 20) Reorder the terms: 15 + 8x = (4x + 5) + (3x + 20) Reorder the terms: 15 + 8x = (5 + 4x) + (3x + 20) Remove parenthesis around (5 + 4x) 15 + 8x = 5 + 4x + (3x + 20) Reorder the terms: 15 + 8x = 5 + 4x + (20 + 3x) Remove parenthesis around (20 + 3x) 15 + 8x = 5 + 4x + 20 + 3x Reorder the terms: 15 + 8x = 5 + 20 + 4x + 3x Combine like terms: 5 + 20 = 25 15 + 8x = 25 + 4x + 3x Combine like terms: 4x + 3x = 7x 15 + 8x = 25 + 7x Solving 15 + 8x = 25 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 15 + 8x + -7x = 25 + 7x + -7x Combine like terms: 8x + -7x = 1x 15 + 1x = 25 + 7x + -7x Combine like terms: 7x + -7x = 0 15 + 1x = 25 + 0 15 + 1x = 25 Add '-15' to each side of the equation. 15 + -15 + 1x = 25 + -15 Combine like terms: 15 + -15 = 0 0 + 1x = 25 + -15 1x = 25 + -15 Combine like terms: 25 + -15 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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