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Simplifying 2x + 3y = x + y + 7 Reorder the terms: 2x + 3y = 7 + x + y Solving 2x + 3y = 7 + x + y 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. 2x + -1x + 3y = 7 + x + -1x + y Combine like terms: 2x + -1x = 1x 1x + 3y = 7 + x + -1x + y Combine like terms: x + -1x = 0 1x + 3y = 7 + 0 + y 1x + 3y = 7 + y Add '-3y' to each side of the equation. 1x + 3y + -3y = 7 + y + -3y Combine like terms: 3y + -3y = 0 1x + 0 = 7 + y + -3y 1x = 7 + y + -3y Combine like terms: y + -3y = -2y 1x = 7 + -2y Divide each side by '1'. x = 7 + -2y Simplifying x = 7 + -2y
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