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Simplifying 7(0.11x + 0.57y + -0.11) = 0 Reorder the terms: 7(-0.11 + 0.11x + 0.57y) = 0 (-0.11 * 7 + 0.11x * 7 + 0.57y * 7) = 0 (-0.77 + 0.77x + 3.99y) = 0 Solving -0.77 + 0.77x + 3.99y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.77' to each side of the equation. -0.77 + 0.77x + 0.77 + 3.99y = 0 + 0.77 Reorder the terms: -0.77 + 0.77 + 0.77x + 3.99y = 0 + 0.77 Combine like terms: -0.77 + 0.77 = 0.00 0.00 + 0.77x + 3.99y = 0 + 0.77 0.77x + 3.99y = 0 + 0.77 Combine like terms: 0 + 0.77 = 0.77 0.77x + 3.99y = 0.77 Add '-3.99y' to each side of the equation. 0.77x + 3.99y + -3.99y = 0.77 + -3.99y Combine like terms: 3.99y + -3.99y = 0.00 0.77x + 0.00 = 0.77 + -3.99y 0.77x = 0.77 + -3.99y Divide each side by '0.77'. x = 1 + -5.181818182y Simplifying x = 1 + -5.181818182y
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