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Simplifying [15 + -7(x + -6y)] + 10(9x + y) = 0 [15 + (x * -7 + -6y * -7)] + 10(9x + y) = 0 [15 + (-7x + 42y)] + 10(9x + y) = 0 Remove brackets around [15 + -7x + 42y] 15 + -7x + 42y + 10(9x + y) = 0 15 + -7x + 42y + (9x * 10 + y * 10) = 0 15 + -7x + 42y + (90x + 10y) = 0 Reorder the terms: 15 + -7x + 90x + 42y + 10y = 0 Combine like terms: -7x + 90x = 83x 15 + 83x + 42y + 10y = 0 Combine like terms: 42y + 10y = 52y 15 + 83x + 52y = 0 Solving 15 + 83x + 52y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + 83x + -15 + 52y = 0 + -15 Reorder the terms: 15 + -15 + 83x + 52y = 0 + -15 Combine like terms: 15 + -15 = 0 0 + 83x + 52y = 0 + -15 83x + 52y = 0 + -15 Combine like terms: 0 + -15 = -15 83x + 52y = -15 Add '-52y' to each side of the equation. 83x + 52y + -52y = -15 + -52y Combine like terms: 52y + -52y = 0 83x + 0 = -15 + -52y 83x = -15 + -52y Divide each side by '83'. x = -0.1807228916 + -0.6265060241y Simplifying x = -0.1807228916 + -0.6265060241y
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