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Simplifying 3x + 5 = 2x + 52 Reorder the terms: 5 + 3x = 2x + 52 Reorder the terms: 5 + 3x = 52 + 2x Solving 5 + 3x = 52 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 5 + 3x + -2x = 52 + 2x + -2x Combine like terms: 3x + -2x = 1x 5 + 1x = 52 + 2x + -2x Combine like terms: 2x + -2x = 0 5 + 1x = 52 + 0 5 + 1x = 52 Add '-5' to each side of the equation. 5 + -5 + 1x = 52 + -5 Combine like terms: 5 + -5 = 0 0 + 1x = 52 + -5 1x = 52 + -5 Combine like terms: 52 + -5 = 47 1x = 47 Divide each side by '1'. x = 47 Simplifying x = 47
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