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Simplifying 5(x + -1y) + 7(x + y) = 79 (x * 5 + -1y * 5) + 7(x + y) = 79 (5x + -5y) + 7(x + y) = 79 5x + -5y + (x * 7 + y * 7) = 79 5x + -5y + (7x + 7y) = 79 Reorder the terms: 5x + 7x + -5y + 7y = 79 Combine like terms: 5x + 7x = 12x 12x + -5y + 7y = 79 Combine like terms: -5y + 7y = 2y 12x + 2y = 79 Solving 12x + 2y = 79 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2y' to each side of the equation. 12x + 2y + -2y = 79 + -2y Combine like terms: 2y + -2y = 0 12x + 0 = 79 + -2y 12x = 79 + -2y Divide each side by '12'. x = 6.583333333 + -0.1666666667y Simplifying x = 6.583333333 + -0.1666666667y
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