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Simplifying 38x + 42 = 36x + 52 Reorder the terms: 42 + 38x = 36x + 52 Reorder the terms: 42 + 38x = 52 + 36x Solving 42 + 38x = 52 + 36x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-36x' to each side of the equation. 42 + 38x + -36x = 52 + 36x + -36x Combine like terms: 38x + -36x = 2x 42 + 2x = 52 + 36x + -36x Combine like terms: 36x + -36x = 0 42 + 2x = 52 + 0 42 + 2x = 52 Add '-42' to each side of the equation. 42 + -42 + 2x = 52 + -42 Combine like terms: 42 + -42 = 0 0 + 2x = 52 + -42 2x = 52 + -42 Combine like terms: 52 + -42 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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