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Simplifying (7x + -10) = (5x + 30) Reorder the terms: (-10 + 7x) = (5x + 30) Remove parenthesis around (-10 + 7x) -10 + 7x = (5x + 30) Reorder the terms: -10 + 7x = (30 + 5x) Remove parenthesis around (30 + 5x) -10 + 7x = 30 + 5x Solving -10 + 7x = 30 + 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. -10 + 7x + -5x = 30 + 5x + -5x Combine like terms: 7x + -5x = 2x -10 + 2x = 30 + 5x + -5x Combine like terms: 5x + -5x = 0 -10 + 2x = 30 + 0 -10 + 2x = 30 Add '10' to each side of the equation. -10 + 10 + 2x = 30 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 30 + 10 2x = 30 + 10 Combine like terms: 30 + 10 = 40 2x = 40 Divide each side by '2'. x = 20 Simplifying x = 20
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