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Simplifying [14 + -7(x + -5y)] + 10(9x + y) = 0 [14 + (x * -7 + -5y * -7)] + 10(9x + y) = 0 [14 + (-7x + 35y)] + 10(9x + y) = 0 Remove brackets around [14 + -7x + 35y] 14 + -7x + 35y + 10(9x + y) = 0 14 + -7x + 35y + (9x * 10 + y * 10) = 0 14 + -7x + 35y + (90x + 10y) = 0 Reorder the terms: 14 + -7x + 90x + 35y + 10y = 0 Combine like terms: -7x + 90x = 83x 14 + 83x + 35y + 10y = 0 Combine like terms: 35y + 10y = 45y 14 + 83x + 45y = 0 Solving 14 + 83x + 45y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 83x + -14 + 45y = 0 + -14 Reorder the terms: 14 + -14 + 83x + 45y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 83x + 45y = 0 + -14 83x + 45y = 0 + -14 Combine like terms: 0 + -14 = -14 83x + 45y = -14 Add '-45y' to each side of the equation. 83x + 45y + -45y = -14 + -45y Combine like terms: 45y + -45y = 0 83x + 0 = -14 + -45y 83x = -14 + -45y Divide each side by '83'. x = -0.1686746988 + -0.5421686747y Simplifying x = -0.1686746988 + -0.5421686747y
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