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Simplifying x + 51 = x + 5 + x Reorder the terms: 51 + x = x + 5 + x Reorder the terms: 51 + x = 5 + x + x Combine like terms: x + x = 2x 51 + x = 5 + 2x Solving 51 + x = 5 + 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. 51 + x + -2x = 5 + 2x + -2x Combine like terms: x + -2x = -1x 51 + -1x = 5 + 2x + -2x Combine like terms: 2x + -2x = 0 51 + -1x = 5 + 0 51 + -1x = 5 Add '-51' to each side of the equation. 51 + -51 + -1x = 5 + -51 Combine like terms: 51 + -51 = 0 0 + -1x = 5 + -51 -1x = 5 + -51 Combine like terms: 5 + -51 = -46 -1x = -46 Divide each side by '-1'. x = 46 Simplifying x = 46
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