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Simplifying 15 + 7x = 50 + 5(x + 1) Reorder the terms: 15 + 7x = 50 + 5(1 + x) 15 + 7x = 50 + (1 * 5 + x * 5) 15 + 7x = 50 + (5 + 5x) Combine like terms: 50 + 5 = 55 15 + 7x = 55 + 5x Solving 15 + 7x = 55 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 15 + 7x + -5x = 55 + 5x + -5x Combine like terms: 7x + -5x = 2x 15 + 2x = 55 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 2x = 55 + 0 15 + 2x = 55 Add '-15' to each side of the equation. 15 + -15 + 2x = 55 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 55 + -15 2x = 55 + -15 Combine like terms: 55 + -15 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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