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Simplifying 7x + -1y = -10 + -7x + 5y + -6 Reorder the terms: 7x + -1y = -10 + -6 + -7x + 5y Combine like terms: -10 + -6 = -16 7x + -1y = -16 + -7x + 5y Solving 7x + -1y = -16 + -7x + 5y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 7x + 7x + -1y = -16 + -7x + 7x + 5y Combine like terms: 7x + 7x = 14x 14x + -1y = -16 + -7x + 7x + 5y Combine like terms: -7x + 7x = 0 14x + -1y = -16 + 0 + 5y 14x + -1y = -16 + 5y Add 'y' to each side of the equation. 14x + -1y + y = -16 + 5y + y Combine like terms: -1y + y = 0 14x + 0 = -16 + 5y + y 14x = -16 + 5y + y Combine like terms: 5y + y = 6y 14x = -16 + 6y Divide each side by '14'. x = -1.142857143 + 0.4285714286y Simplifying x = -1.142857143 + 0.4285714286y
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