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Simplifying 2x + -3y = 4x + 7y Solving 2x + -3y = 4x + 7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 2x + -4x + -3y = 4x + -4x + 7y Combine like terms: 2x + -4x = -2x -2x + -3y = 4x + -4x + 7y Combine like terms: 4x + -4x = 0 -2x + -3y = 0 + 7y -2x + -3y = 7y Add '3y' to each side of the equation. -2x + -3y + 3y = 7y + 3y Combine like terms: -3y + 3y = 0 -2x + 0 = 7y + 3y -2x = 7y + 3y Combine like terms: 7y + 3y = 10y -2x = 10y Divide each side by '-2'. x = -5y Simplifying x = -5y
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