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Simplifying (2x + 20) + 40 = (3x + 10) Reorder the terms: (20 + 2x) + 40 = (3x + 10) Remove parenthesis around (20 + 2x) 20 + 2x + 40 = (3x + 10) Reorder the terms: 20 + 40 + 2x = (3x + 10) Combine like terms: 20 + 40 = 60 60 + 2x = (3x + 10) Reorder the terms: 60 + 2x = (10 + 3x) Remove parenthesis around (10 + 3x) 60 + 2x = 10 + 3x Solving 60 + 2x = 10 + 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. 60 + 2x + -3x = 10 + 3x + -3x Combine like terms: 2x + -3x = -1x 60 + -1x = 10 + 3x + -3x Combine like terms: 3x + -3x = 0 60 + -1x = 10 + 0 60 + -1x = 10 Add '-60' to each side of the equation. 60 + -60 + -1x = 10 + -60 Combine like terms: 60 + -60 = 0 0 + -1x = 10 + -60 -1x = 10 + -60 Combine like terms: 10 + -60 = -50 -1x = -50 Divide each side by '-1'. x = 50 Simplifying x = 50
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