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Simplifying 5x + 20 = 3x + 42 Reorder the terms: 20 + 5x = 3x + 42 Reorder the terms: 20 + 5x = 42 + 3x Solving 20 + 5x = 42 + 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. 20 + 5x + -3x = 42 + 3x + -3x Combine like terms: 5x + -3x = 2x 20 + 2x = 42 + 3x + -3x Combine like terms: 3x + -3x = 0 20 + 2x = 42 + 0 20 + 2x = 42 Add '-20' to each side of the equation. 20 + -20 + 2x = 42 + -20 Combine like terms: 20 + -20 = 0 0 + 2x = 42 + -20 2x = 42 + -20 Combine like terms: 42 + -20 = 22 2x = 22 Divide each side by '2'. x = 11 Simplifying x = 11
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