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Simplifying 2(1 + -3y) + -1(5 + -6x) = 8 + -2y (1 * 2 + -3y * 2) + -1(5 + -6x) = 8 + -2y (2 + -6y) + -1(5 + -6x) = 8 + -2y 2 + -6y + (5 * -1 + -6x * -1) = 8 + -2y 2 + -6y + (-5 + 6x) = 8 + -2y Reorder the terms: 2 + -5 + 6x + -6y = 8 + -2y Combine like terms: 2 + -5 = -3 -3 + 6x + -6y = 8 + -2y Solving -3 + 6x + -6y = 8 + -2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3' to each side of the equation. -3 + 6x + 3 + -6y = 8 + 3 + -2y Reorder the terms: -3 + 3 + 6x + -6y = 8 + 3 + -2y Combine like terms: -3 + 3 = 0 0 + 6x + -6y = 8 + 3 + -2y 6x + -6y = 8 + 3 + -2y Combine like terms: 8 + 3 = 11 6x + -6y = 11 + -2y Add '6y' to each side of the equation. 6x + -6y + 6y = 11 + -2y + 6y Combine like terms: -6y + 6y = 0 6x + 0 = 11 + -2y + 6y 6x = 11 + -2y + 6y Combine like terms: -2y + 6y = 4y 6x = 11 + 4y Divide each side by '6'. x = 1.833333333 + 0.6666666667y Simplifying x = 1.833333333 + 0.6666666667y
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