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Simplifying 2x + y = 99 + -1(3x + 5y) 2x + y = 99 + (3x * -1 + 5y * -1) 2x + y = 99 + (-3x + -5y) Solving 2x + y = 99 + -3x + -5y 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 + y = 99 + -3x + 3x + -5y Combine like terms: 2x + 3x = 5x 5x + y = 99 + -3x + 3x + -5y Combine like terms: -3x + 3x = 0 5x + y = 99 + 0 + -5y 5x + y = 99 + -5y Add '-1y' to each side of the equation. 5x + y + -1y = 99 + -5y + -1y Combine like terms: y + -1y = 0 5x + 0 = 99 + -5y + -1y 5x = 99 + -5y + -1y Combine like terms: -5y + -1y = -6y 5x = 99 + -6y Divide each side by '5'. x = 19.8 + -1.2y Simplifying x = 19.8 + -1.2y
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