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Simplifying (9 * 10) + -1 * 0 + 11(4y + 6x) + 44y + 66x = 0 Multiply 9 * 10 (90) + -1 * 0 + 11(4y + 6x) + 44y + 66x = 0 90 + -1 * 0 + 11(4y + 6x) + 44y + 66x = 0 Multiply -1 * 0 90 + 0 + 11(4y + 6x) + 44y + 66x = 0 Anything times zero is zero. 90 + 0 + 11(4y + 6x) + 44y + 66x = 0 Reorder the terms: 90 + 0 + 11(6x + 4y) + 44y + 66x = 0 90 + 0 + (6x * 11 + 4y * 11) + 44y + 66x = 0 90 + 0 + (66x + 44y) + 44y + 66x = 0 Reorder the terms: 90 + 0 + 66x + 66x + 44y + 44y = 0 Combine like terms: 90 + 0 = 90 90 + 66x + 66x + 44y + 44y = 0 Combine like terms: 66x + 66x = 132x 90 + 132x + 44y + 44y = 0 Combine like terms: 44y + 44y = 88y 90 + 132x + 88y = 0 Solving 90 + 132x + 88y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-90' to each side of the equation. 90 + 132x + -90 + 88y = 0 + -90 Reorder the terms: 90 + -90 + 132x + 88y = 0 + -90 Combine like terms: 90 + -90 = 0 0 + 132x + 88y = 0 + -90 132x + 88y = 0 + -90 Combine like terms: 0 + -90 = -90 132x + 88y = -90 Add '-88y' to each side of the equation. 132x + 88y + -88y = -90 + -88y Combine like terms: 88y + -88y = 0 132x + 0 = -90 + -88y 132x = -90 + -88y Divide each side by '132'. x = -0.6818181818 + -0.6666666667y Simplifying x = -0.6818181818 + -0.6666666667y
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