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Simplifying 2x + 5y = 5x + -3y Solving 2x + 5y = 5x + -3y 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 + 5y = 5x + -5x + -3y Combine like terms: 2x + -5x = -3x -3x + 5y = 5x + -5x + -3y Combine like terms: 5x + -5x = 0 -3x + 5y = 0 + -3y -3x + 5y = -3y Add '-5y' to each side of the equation. -3x + 5y + -5y = -3y + -5y Combine like terms: 5y + -5y = 0 -3x + 0 = -3y + -5y -3x = -3y + -5y Combine like terms: -3y + -5y = -8y -3x = -8y Divide each side by '-3'. x = 2.666666667y Simplifying x = 2.666666667y
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