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Simplifying 5(x + 3y) + -1(7x + 8y) = -6 (x * 5 + 3y * 5) + -1(7x + 8y) = -6 (5x + 15y) + -1(7x + 8y) = -6 5x + 15y + (7x * -1 + 8y * -1) = -6 5x + 15y + (-7x + -8y) = -6 Reorder the terms: 5x + -7x + 15y + -8y = -6 Combine like terms: 5x + -7x = -2x -2x + 15y + -8y = -6 Combine like terms: 15y + -8y = 7y -2x + 7y = -6 Solving -2x + 7y = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7y' to each side of the equation. -2x + 7y + -7y = -6 + -7y Combine like terms: 7y + -7y = 0 -2x + 0 = -6 + -7y -2x = -6 + -7y Divide each side by '-2'. x = 3 + 3.5y Simplifying x = 3 + 3.5y
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