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Simplifying 4x + 6y + 6 + 7x + 1y = 0 Reorder the terms: 6 + 4x + 7x + 6y + 1y = 0 Combine like terms: 4x + 7x = 11x 6 + 11x + 6y + 1y = 0 Combine like terms: 6y + 1y = 7y 6 + 11x + 7y = 0 Solving 6 + 11x + 7y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 11x + -6 + 7y = 0 + -6 Reorder the terms: 6 + -6 + 11x + 7y = 0 + -6 Combine like terms: 6 + -6 = 0 0 + 11x + 7y = 0 + -6 11x + 7y = 0 + -6 Combine like terms: 0 + -6 = -6 11x + 7y = -6 Add '-7y' to each side of the equation. 11x + 7y + -7y = -6 + -7y Combine like terms: 7y + -7y = 0 11x + 0 = -6 + -7y 11x = -6 + -7y Divide each side by '11'. x = -0.5454545455 + -0.6363636364y Simplifying x = -0.5454545455 + -0.6363636364y
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