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Simplifying [13 + -3(x + -2y)] + 10(7x + y) = 0 [13 + (x * -3 + -2y * -3)] + 10(7x + y) = 0 [13 + (-3x + 6y)] + 10(7x + y) = 0 Remove brackets around [13 + -3x + 6y] 13 + -3x + 6y + 10(7x + y) = 0 13 + -3x + 6y + (7x * 10 + y * 10) = 0 13 + -3x + 6y + (70x + 10y) = 0 Reorder the terms: 13 + -3x + 70x + 6y + 10y = 0 Combine like terms: -3x + 70x = 67x 13 + 67x + 6y + 10y = 0 Combine like terms: 6y + 10y = 16y 13 + 67x + 16y = 0 Solving 13 + 67x + 16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13' to each side of the equation. 13 + 67x + -13 + 16y = 0 + -13 Reorder the terms: 13 + -13 + 67x + 16y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 67x + 16y = 0 + -13 67x + 16y = 0 + -13 Combine like terms: 0 + -13 = -13 67x + 16y = -13 Add '-16y' to each side of the equation. 67x + 16y + -16y = -13 + -16y Combine like terms: 16y + -16y = 0 67x + 0 = -13 + -16y 67x = -13 + -16y Divide each side by '67'. x = -0.1940298507 + -0.2388059701y Simplifying x = -0.1940298507 + -0.2388059701y
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