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Simplifying 3x + 52 = 5x + 38 Reorder the terms: 52 + 3x = 5x + 38 Reorder the terms: 52 + 3x = 38 + 5x Solving 52 + 3x = 38 + 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. 52 + 3x + -5x = 38 + 5x + -5x Combine like terms: 3x + -5x = -2x 52 + -2x = 38 + 5x + -5x Combine like terms: 5x + -5x = 0 52 + -2x = 38 + 0 52 + -2x = 38 Add '-52' to each side of the equation. 52 + -52 + -2x = 38 + -52 Combine like terms: 52 + -52 = 0 0 + -2x = 38 + -52 -2x = 38 + -52 Combine like terms: 38 + -52 = -14 -2x = -14 Divide each side by '-2'. x = 7 Simplifying x = 7
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