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Simplifying 7x + 3y = 10 + 2x + -5y Solving 7x + 3y = 10 + 2x + -5y 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. 7x + -2x + 3y = 10 + 2x + -2x + -5y Combine like terms: 7x + -2x = 5x 5x + 3y = 10 + 2x + -2x + -5y Combine like terms: 2x + -2x = 0 5x + 3y = 10 + 0 + -5y 5x + 3y = 10 + -5y Add '-3y' to each side of the equation. 5x + 3y + -3y = 10 + -5y + -3y Combine like terms: 3y + -3y = 0 5x + 0 = 10 + -5y + -3y 5x = 10 + -5y + -3y Combine like terms: -5y + -3y = -8y 5x = 10 + -8y Divide each side by '5'. x = 2 + -1.6y Simplifying x = 2 + -1.6y
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