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Simplifying x * 7 + 15 = x * 5 + 49 Reorder the terms for easier multiplication: 7x + 15 = x * 5 + 49 Reorder the terms: 15 + 7x = x * 5 + 49 Reorder the terms for easier multiplication: 15 + 7x = 5x + 49 Reorder the terms: 15 + 7x = 49 + 5x Solving 15 + 7x = 49 + 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 = 49 + 5x + -5x Combine like terms: 7x + -5x = 2x 15 + 2x = 49 + 5x + -5x Combine like terms: 5x + -5x = 0 15 + 2x = 49 + 0 15 + 2x = 49 Add '-15' to each side of the equation. 15 + -15 + 2x = 49 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 49 + -15 2x = 49 + -15 Combine like terms: 49 + -15 = 34 2x = 34 Divide each side by '2'. x = 17 Simplifying x = 17
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