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Simplifying [14 + -3(x + -2y)] + 5(3x + y) = 0 [14 + (x * -3 + -2y * -3)] + 5(3x + y) = 0 [14 + (-3x + 6y)] + 5(3x + y) = 0 Remove brackets around [14 + -3x + 6y] 14 + -3x + 6y + 5(3x + y) = 0 14 + -3x + 6y + (3x * 5 + y * 5) = 0 14 + -3x + 6y + (15x + 5y) = 0 Reorder the terms: 14 + -3x + 15x + 6y + 5y = 0 Combine like terms: -3x + 15x = 12x 14 + 12x + 6y + 5y = 0 Combine like terms: 6y + 5y = 11y 14 + 12x + 11y = 0 Solving 14 + 12x + 11y = 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 + 12x + -14 + 11y = 0 + -14 Reorder the terms: 14 + -14 + 12x + 11y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 12x + 11y = 0 + -14 12x + 11y = 0 + -14 Combine like terms: 0 + -14 = -14 12x + 11y = -14 Add '-11y' to each side of the equation. 12x + 11y + -11y = -14 + -11y Combine like terms: 11y + -11y = 0 12x + 0 = -14 + -11y 12x = -14 + -11y Divide each side by '12'. x = -1.166666667 + -0.9166666667y Simplifying x = -1.166666667 + -0.9166666667y
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