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Simplifying 5x + 9y = 18 + -1(x + y) 5x + 9y = 18 + (x * -1 + y * -1) 5x + 9y = 18 + (-1x + -1y) Solving 5x + 9y = 18 + -1x + -1y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 5x + x + 9y = 18 + -1x + x + -1y Combine like terms: 5x + x = 6x 6x + 9y = 18 + -1x + x + -1y Combine like terms: -1x + x = 0 6x + 9y = 18 + 0 + -1y 6x + 9y = 18 + -1y Add '-9y' to each side of the equation. 6x + 9y + -9y = 18 + -1y + -9y Combine like terms: 9y + -9y = 0 6x + 0 = 18 + -1y + -9y 6x = 18 + -1y + -9y Combine like terms: -1y + -9y = -10y 6x = 18 + -10y Divide each side by '6'. x = 3 + -1.666666667y Simplifying x = 3 + -1.666666667y
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