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Simplifying [13 + -3(x + -2y)] + 4(3x + y) = 0 [13 + (x * -3 + -2y * -3)] + 4(3x + y) = 0 [13 + (-3x + 6y)] + 4(3x + y) = 0 Remove brackets around [13 + -3x + 6y] 13 + -3x + 6y + 4(3x + y) = 0 13 + -3x + 6y + (3x * 4 + y * 4) = 0 13 + -3x + 6y + (12x + 4y) = 0 Reorder the terms: 13 + -3x + 12x + 6y + 4y = 0 Combine like terms: -3x + 12x = 9x 13 + 9x + 6y + 4y = 0 Combine like terms: 6y + 4y = 10y 13 + 9x + 10y = 0 Solving 13 + 9x + 10y = 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 + 9x + -13 + 10y = 0 + -13 Reorder the terms: 13 + -13 + 9x + 10y = 0 + -13 Combine like terms: 13 + -13 = 0 0 + 9x + 10y = 0 + -13 9x + 10y = 0 + -13 Combine like terms: 0 + -13 = -13 9x + 10y = -13 Add '-10y' to each side of the equation. 9x + 10y + -10y = -13 + -10y Combine like terms: 10y + -10y = 0 9x + 0 = -13 + -10y 9x = -13 + -10y Divide each side by '9'. x = -1.444444444 + -1.111111111y Simplifying x = -1.444444444 + -1.111111111y
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