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Simplifying [13 + -4(x + -3y)] + 6(5x + y) = 0 [13 + (x * -4 + -3y * -4)] + 6(5x + y) = 0 [13 + (-4x + 12y)] + 6(5x + y) = 0 Remove brackets around [13 + -4x + 12y] 13 + -4x + 12y + 6(5x + y) = 0 13 + -4x + 12y + (5x * 6 + y * 6) = 0 13 + -4x + 12y + (30x + 6y) = 0 Reorder the terms: 13 + -4x + 30x + 12y + 6y = 0 Combine like terms: -4x + 30x = 26x 13 + 26x + 12y + 6y = 0 Combine like terms: 12y + 6y = 18y 13 + 26x + 18y = 0 Solving 13 + 26x + 18y = 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 + 26x + -13 + 18y = 0 + -13 Reorder the terms: 13 + -13 + 26x + 18y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 26x + 18y = 0 + -13 26x + 18y = 0 + -13 Combine like terms: 0 + -13 = -13 26x + 18y = -13 Add '-18y' to each side of the equation. 26x + 18y + -18y = -13 + -18y Combine like terms: 18y + -18y = 0 26x + 0 = -13 + -18y 26x = -13 + -18y Divide each side by '26'. x = -0.5 + -0.6923076923y Simplifying x = -0.5 + -0.6923076923y
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