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Simplifying x + -2y = 2x + 3y + -5 Reorder the terms: x + -2y = -5 + 2x + 3y Solving x + -2y = -5 + 2x + 3y 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 + -2y = -5 + 2x + -2x + 3y Combine like terms: x + -2x = -1x -1x + -2y = -5 + 2x + -2x + 3y Combine like terms: 2x + -2x = 0 -1x + -2y = -5 + 0 + 3y -1x + -2y = -5 + 3y Add '2y' to each side of the equation. -1x + -2y + 2y = -5 + 3y + 2y Combine like terms: -2y + 2y = 0 -1x + 0 = -5 + 3y + 2y -1x = -5 + 3y + 2y Combine like terms: 3y + 2y = 5y -1x = -5 + 5y Divide each side by '-1'. x = 5 + -5y Simplifying x = 5 + -5y
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