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Simplifying [11 + -3(x + -2y)] + 7(5x + y) = 0 [11 + (x * -3 + -2y * -3)] + 7(5x + y) = 0 [11 + (-3x + 6y)] + 7(5x + y) = 0 Remove brackets around [11 + -3x + 6y] 11 + -3x + 6y + 7(5x + y) = 0 11 + -3x + 6y + (5x * 7 + y * 7) = 0 11 + -3x + 6y + (35x + 7y) = 0 Reorder the terms: 11 + -3x + 35x + 6y + 7y = 0 Combine like terms: -3x + 35x = 32x 11 + 32x + 6y + 7y = 0 Combine like terms: 6y + 7y = 13y 11 + 32x + 13y = 0 Solving 11 + 32x + 13y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + 32x + -11 + 13y = 0 + -11 Reorder the terms: 11 + -11 + 32x + 13y = 0 + -11 Combine like terms: 11 + -11 = 0 0 + 32x + 13y = 0 + -11 32x + 13y = 0 + -11 Combine like terms: 0 + -11 = -11 32x + 13y = -11 Add '-13y' to each side of the equation. 32x + 13y + -13y = -11 + -13y Combine like terms: 13y + -13y = 0 32x + 0 = -11 + -13y 32x = -11 + -13y Divide each side by '32'. x = -0.34375 + -0.40625y Simplifying x = -0.34375 + -0.40625y
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