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Simplifying 6x + 2y + 6 = -6 + 10y + -1x Reorder the terms: 6 + 6x + 2y = -6 + 10y + -1x Reorder the terms: 6 + 6x + 2y = -6 + -1x + 10y Solving 6 + 6x + 2y = -6 + -1x + 10y 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. 6 + 6x + x + 2y = -6 + -1x + x + 10y Combine like terms: 6x + x = 7x 6 + 7x + 2y = -6 + -1x + x + 10y Combine like terms: -1x + x = 0 6 + 7x + 2y = -6 + 0 + 10y 6 + 7x + 2y = -6 + 10y Add '-6' to each side of the equation. 6 + 7x + -6 + 2y = -6 + -6 + 10y Reorder the terms: 6 + -6 + 7x + 2y = -6 + -6 + 10y Combine like terms: 6 + -6 = 0 0 + 7x + 2y = -6 + -6 + 10y 7x + 2y = -6 + -6 + 10y Combine like terms: -6 + -6 = -12 7x + 2y = -12 + 10y Add '-2y' to each side of the equation. 7x + 2y + -2y = -12 + 10y + -2y Combine like terms: 2y + -2y = 0 7x + 0 = -12 + 10y + -2y 7x = -12 + 10y + -2y Combine like terms: 10y + -2y = 8y 7x = -12 + 8y Divide each side by '7'. x = -1.714285714 + 1.142857143y Simplifying x = -1.714285714 + 1.142857143y
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