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Simplifying (5x + -35) = (3x + 7) Reorder the terms: (-35 + 5x) = (3x + 7) Remove parenthesis around (-35 + 5x) -35 + 5x = (3x + 7) Reorder the terms: -35 + 5x = (7 + 3x) Remove parenthesis around (7 + 3x) -35 + 5x = 7 + 3x Solving -35 + 5x = 7 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -35 + 5x + -3x = 7 + 3x + -3x Combine like terms: 5x + -3x = 2x -35 + 2x = 7 + 3x + -3x Combine like terms: 3x + -3x = 0 -35 + 2x = 7 + 0 -35 + 2x = 7 Add '35' to each side of the equation. -35 + 35 + 2x = 7 + 35 Combine like terms: -35 + 35 = 0 0 + 2x = 7 + 35 2x = 7 + 35 Combine like terms: 7 + 35 = 42 2x = 42 Divide each side by '2'. x = 21 Simplifying x = 21
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