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Simplifying 7x + -2y = -1x + -6 + -6y + 5 Reorder the terms: 7x + -2y = -6 + 5 + -1x + -6y Combine like terms: -6 + 5 = -1 7x + -2y = -1 + -1x + -6y Solving 7x + -2y = -1 + -1x + -6y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. 7x + x + -2y = -1 + -1x + x + -6y Combine like terms: 7x + x = 8x 8x + -2y = -1 + -1x + x + -6y Combine like terms: -1x + x = 0 8x + -2y = -1 + 0 + -6y 8x + -2y = -1 + -6y Add '2y' to each side of the equation. 8x + -2y + 2y = -1 + -6y + 2y Combine like terms: -2y + 2y = 0 8x + 0 = -1 + -6y + 2y 8x = -1 + -6y + 2y Combine like terms: -6y + 2y = -4y 8x = -1 + -4y Divide each side by '8'. x = -0.125 + -0.5y Simplifying x = -0.125 + -0.5y
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