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Simplifying 7(x + 5) = 5x + 39 Reorder the terms: 7(5 + x) = 5x + 39 (5 * 7 + x * 7) = 5x + 39 (35 + 7x) = 5x + 39 Reorder the terms: 35 + 7x = 39 + 5x Solving 35 + 7x = 39 + 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. 35 + 7x + -5x = 39 + 5x + -5x Combine like terms: 7x + -5x = 2x 35 + 2x = 39 + 5x + -5x Combine like terms: 5x + -5x = 0 35 + 2x = 39 + 0 35 + 2x = 39 Add '-35' to each side of the equation. 35 + -35 + 2x = 39 + -35 Combine like terms: 35 + -35 = 0 0 + 2x = 39 + -35 2x = 39 + -35 Combine like terms: 39 + -35 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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