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Simplifying 3x + 4 = x + 52 Reorder the terms: 4 + 3x = x + 52 Reorder the terms: 4 + 3x = 52 + x Solving 4 + 3x = 52 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 4 + 3x + -1x = 52 + x + -1x Combine like terms: 3x + -1x = 2x 4 + 2x = 52 + x + -1x Combine like terms: x + -1x = 0 4 + 2x = 52 + 0 4 + 2x = 52 Add '-4' to each side of the equation. 4 + -4 + 2x = 52 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = 52 + -4 2x = 52 + -4 Combine like terms: 52 + -4 = 48 2x = 48 Divide each side by '2'. x = 24 Simplifying x = 24
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