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Simplifying 2x + 3y = 5x + -2y + 7 Reorder the terms: 2x + 3y = 7 + 5x + -2y Solving 2x + 3y = 7 + 5x + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 2x + -5x + 3y = 7 + 5x + -5x + -2y Combine like terms: 2x + -5x = -3x -3x + 3y = 7 + 5x + -5x + -2y Combine like terms: 5x + -5x = 0 -3x + 3y = 7 + 0 + -2y -3x + 3y = 7 + -2y Add '-3y' to each side of the equation. -3x + 3y + -3y = 7 + -2y + -3y Combine like terms: 3y + -3y = 0 -3x + 0 = 7 + -2y + -3y -3x = 7 + -2y + -3y Combine like terms: -2y + -3y = -5y -3x = 7 + -5y Divide each side by '-3'. x = -2.333333333 + 1.666666667y Simplifying x = -2.333333333 + 1.666666667y
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