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Simplifying 7x + 5y + 4(x + -1y) + -6 = 0 7x + 5y + (x * 4 + -1y * 4) + -6 = 0 7x + 5y + (4x + -4y) + -6 = 0 Reorder the terms: -6 + 7x + 4x + 5y + -4y = 0 Combine like terms: 7x + 4x = 11x -6 + 11x + 5y + -4y = 0 Combine like terms: 5y + -4y = 1y -6 + 11x + 1y = 0 Solving -6 + 11x + 1y = 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 + 1y = 0 + 6 Reorder the terms: -6 + 6 + 11x + 1y = 0 + 6 Combine like terms: -6 + 6 = 0 0 + 11x + 1y = 0 + 6 11x + 1y = 0 + 6 Combine like terms: 0 + 6 = 6 11x + 1y = 6 Add '-1y' to each side of the equation. 11x + 1y + -1y = 6 + -1y Combine like terms: 1y + -1y = 0 11x + 0 = 6 + -1y 11x = 6 + -1y Divide each side by '11'. x = 0.5454545455 + -0.09090909091y Simplifying x = 0.5454545455 + -0.09090909091y
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