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Simplifying [14 + -4(x + -3y)] + 10(3x + y) = 0 [14 + (x * -4 + -3y * -4)] + 10(3x + y) = 0 [14 + (-4x + 12y)] + 10(3x + y) = 0 Remove brackets around [14 + -4x + 12y] 14 + -4x + 12y + 10(3x + y) = 0 14 + -4x + 12y + (3x * 10 + y * 10) = 0 14 + -4x + 12y + (30x + 10y) = 0 Reorder the terms: 14 + -4x + 30x + 12y + 10y = 0 Combine like terms: -4x + 30x = 26x 14 + 26x + 12y + 10y = 0 Combine like terms: 12y + 10y = 22y 14 + 26x + 22y = 0 Solving 14 + 26x + 22y = 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 + 26x + -14 + 22y = 0 + -14 Reorder the terms: 14 + -14 + 26x + 22y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 26x + 22y = 0 + -14 26x + 22y = 0 + -14 Combine like terms: 0 + -14 = -14 26x + 22y = -14 Add '-22y' to each side of the equation. 26x + 22y + -22y = -14 + -22y Combine like terms: 22y + -22y = 0 26x + 0 = -14 + -22y 26x = -14 + -22y Divide each side by '26'. x = -0.5384615385 + -0.8461538462y Simplifying x = -0.5384615385 + -0.8461538462y
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