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Simplifying 7(x + 7) = 5x + 59 Reorder the terms: 7(7 + x) = 5x + 59 (7 * 7 + x * 7) = 5x + 59 (49 + 7x) = 5x + 59 Reorder the terms: 49 + 7x = 59 + 5x Solving 49 + 7x = 59 + 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. 49 + 7x + -5x = 59 + 5x + -5x Combine like terms: 7x + -5x = 2x 49 + 2x = 59 + 5x + -5x Combine like terms: 5x + -5x = 0 49 + 2x = 59 + 0 49 + 2x = 59 Add '-49' to each side of the equation. 49 + -49 + 2x = 59 + -49 Combine like terms: 49 + -49 = 0 0 + 2x = 59 + -49 2x = 59 + -49 Combine like terms: 59 + -49 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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