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Simplifying x + (y + 5) = (x + y) + (x + 5) Reorder the terms: x + (5 + y) = (x + y) + (x + 5) Remove parenthesis around (5 + y) x + 5 + y = (x + y) + (x + 5) Reorder the terms: 5 + x + y = (x + y) + (x + 5) Remove parenthesis around (x + y) 5 + x + y = x + y + (x + 5) Reorder the terms: 5 + x + y = x + y + (5 + x) Remove parenthesis around (5 + x) 5 + x + y = x + y + 5 + x Reorder the terms: 5 + x + y = 5 + x + x + y Combine like terms: x + x = 2x 5 + x + y = 5 + 2x + y Add '-5' to each side of the equation. 5 + x + -5 + y = 5 + 2x + -5 + y Reorder the terms: 5 + -5 + x + y = 5 + 2x + -5 + y Combine like terms: 5 + -5 = 0 0 + x + y = 5 + 2x + -5 + y x + y = 5 + 2x + -5 + y Reorder the terms: x + y = 5 + -5 + 2x + y Combine like terms: 5 + -5 = 0 x + y = 0 + 2x + y x + y = 2x + y Add '-1y' to each side of the equation. x + y + -1y = 2x + y + -1y Combine like terms: y + -1y = 0 x + 0 = 2x + y + -1y x = 2x + y + -1y Combine like terms: y + -1y = 0 x = 2x + 0 x = 2x Solving x = 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. x + -2x = 2x + -2x Combine like terms: x + -2x = -1x -1x = 2x + -2x Combine like terms: 2x + -2x = 0 -1x = 0 Divide each side by '-1'. x = 0 Simplifying x = 0
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