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Simplifying [11 + -4(x + -2y)] + 10(3x + y) = 0 [11 + (x * -4 + -2y * -4)] + 10(3x + y) = 0 [11 + (-4x + 8y)] + 10(3x + y) = 0 Remove brackets around [11 + -4x + 8y] 11 + -4x + 8y + 10(3x + y) = 0 11 + -4x + 8y + (3x * 10 + y * 10) = 0 11 + -4x + 8y + (30x + 10y) = 0 Reorder the terms: 11 + -4x + 30x + 8y + 10y = 0 Combine like terms: -4x + 30x = 26x 11 + 26x + 8y + 10y = 0 Combine like terms: 8y + 10y = 18y 11 + 26x + 18y = 0 Solving 11 + 26x + 18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 26x + -11 + 18y = 0 + -11 Reorder the terms: 11 + -11 + 26x + 18y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 26x + 18y = 0 + -11 26x + 18y = 0 + -11 Combine like terms: 0 + -11 = -11 26x + 18y = -11 Add '-18y' to each side of the equation. 26x + 18y + -18y = -11 + -18y Combine like terms: 18y + -18y = 0 26x + 0 = -11 + -18y 26x = -11 + -18y Divide each side by '26'. x = -0.4230769231 + -0.6923076923y Simplifying x = -0.4230769231 + -0.6923076923y
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