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Simplifying 2x + -2y = 3x + -3y Solving 2x + -2y = 3x + -3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 2x + -3x + -2y = 3x + -3x + -3y Combine like terms: 2x + -3x = -1x -1x + -2y = 3x + -3x + -3y Combine like terms: 3x + -3x = 0 -1x + -2y = 0 + -3y -1x + -2y = -3y Add '2y' to each side of the equation. -1x + -2y + 2y = -3y + 2y Combine like terms: -2y + 2y = 0 -1x + 0 = -3y + 2y -1x = -3y + 2y Combine like terms: -3y + 2y = -1y -1x = -1y Divide each side by '-1'. x = y Simplifying x = y
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