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Simplifying (x + 5) * 7 = (3x + 5) * 2 Reorder the terms: (5 + x) * 7 = (3x + 5) * 2 Reorder the terms for easier multiplication: 7(5 + x) = (3x + 5) * 2 (5 * 7 + x * 7) = (3x + 5) * 2 (35 + 7x) = (3x + 5) * 2 Reorder the terms: 35 + 7x = (5 + 3x) * 2 Reorder the terms for easier multiplication: 35 + 7x = 2(5 + 3x) 35 + 7x = (5 * 2 + 3x * 2) 35 + 7x = (10 + 6x) Solving 35 + 7x = 10 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 35 + 7x + -6x = 10 + 6x + -6x Combine like terms: 7x + -6x = 1x 35 + 1x = 10 + 6x + -6x Combine like terms: 6x + -6x = 0 35 + 1x = 10 + 0 35 + 1x = 10 Add '-35' to each side of the equation. 35 + -35 + 1x = 10 + -35 Combine like terms: 35 + -35 = 0 0 + 1x = 10 + -35 1x = 10 + -35 Combine like terms: 10 + -35 = -25 1x = -25 Divide each side by '1'. x = -25 Simplifying x = -25
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