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Simplifying 3x + -7y = 20 + -9(x + 3y) 3x + -7y = 20 + (x * -9 + 3y * -9) 3x + -7y = 20 + (-9x + -27y) Solving 3x + -7y = 20 + -9x + -27y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. 3x + 9x + -7y = 20 + -9x + 9x + -27y Combine like terms: 3x + 9x = 12x 12x + -7y = 20 + -9x + 9x + -27y Combine like terms: -9x + 9x = 0 12x + -7y = 20 + 0 + -27y 12x + -7y = 20 + -27y Add '7y' to each side of the equation. 12x + -7y + 7y = 20 + -27y + 7y Combine like terms: -7y + 7y = 0 12x + 0 = 20 + -27y + 7y 12x = 20 + -27y + 7y Combine like terms: -27y + 7y = -20y 12x = 20 + -20y Divide each side by '12'. x = 1.666666667 + -1.666666667y Simplifying x = 1.666666667 + -1.666666667y
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