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Simplifying x + -52 = 2x + 24 Reorder the terms: -52 + x = 2x + 24 Reorder the terms: -52 + x = 24 + 2x Solving -52 + x = 24 + 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. -52 + x + -2x = 24 + 2x + -2x Combine like terms: x + -2x = -1x -52 + -1x = 24 + 2x + -2x Combine like terms: 2x + -2x = 0 -52 + -1x = 24 + 0 -52 + -1x = 24 Add '52' to each side of the equation. -52 + 52 + -1x = 24 + 52 Combine like terms: -52 + 52 = 0 0 + -1x = 24 + 52 -1x = 24 + 52 Combine like terms: 24 + 52 = 76 -1x = 76 Divide each side by '-1'. x = -76 Simplifying x = -76
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