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Simplifying x + y = 12 + y + -1x + 2 Reorder the terms: x + y = 12 + 2 + -1x + y Combine like terms: 12 + 2 = 14 x + y = 14 + -1x + y Add '-1y' to each side of the equation. x + y + -1y = 14 + -1x + y + -1y Combine like terms: y + -1y = 0 x + 0 = 14 + -1x + y + -1y x = 14 + -1x + y + -1y Combine like terms: y + -1y = 0 x = 14 + -1x + 0 x = 14 + -1x Solving x = 14 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. x + x = 14 + -1x + x Combine like terms: x + x = 2x 2x = 14 + -1x + x Combine like terms: -1x + x = 0 2x = 14 + 0 2x = 14 Divide each side by '2'. x = 7 Simplifying x = 7
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