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Simplifying [10 + -3(x + -2y)] + 5(4x + y) = 0 [10 + (x * -3 + -2y * -3)] + 5(4x + y) = 0 [10 + (-3x + 6y)] + 5(4x + y) = 0 Remove brackets around [10 + -3x + 6y] 10 + -3x + 6y + 5(4x + y) = 0 10 + -3x + 6y + (4x * 5 + y * 5) = 0 10 + -3x + 6y + (20x + 5y) = 0 Reorder the terms: 10 + -3x + 20x + 6y + 5y = 0 Combine like terms: -3x + 20x = 17x 10 + 17x + 6y + 5y = 0 Combine like terms: 6y + 5y = 11y 10 + 17x + 11y = 0 Solving 10 + 17x + 11y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 17x + -10 + 11y = 0 + -10 Reorder the terms: 10 + -10 + 17x + 11y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 17x + 11y = 0 + -10 17x + 11y = 0 + -10 Combine like terms: 0 + -10 = -10 17x + 11y = -10 Add '-11y' to each side of the equation. 17x + 11y + -11y = -10 + -11y Combine like terms: 11y + -11y = 0 17x + 0 = -10 + -11y 17x = -10 + -11y Divide each side by '17'. x = -0.5882352941 + -0.6470588235y Simplifying x = -0.5882352941 + -0.6470588235y
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