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Simplifying x + 52 = 5x + 24 Reorder the terms: 52 + x = 5x + 24 Reorder the terms: 52 + x = 24 + 5x Solving 52 + x = 24 + 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 + x + -5x = 24 + 5x + -5x Combine like terms: x + -5x = -4x 52 + -4x = 24 + 5x + -5x Combine like terms: 5x + -5x = 0 52 + -4x = 24 + 0 52 + -4x = 24 Add '-52' to each side of the equation. 52 + -52 + -4x = 24 + -52 Combine like terms: 52 + -52 = 0 0 + -4x = 24 + -52 -4x = 24 + -52 Combine like terms: 24 + -52 = -28 -4x = -28 Divide each side by '-4'. x = 7 Simplifying x = 7
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