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Simplifying [12 + -4(x + -2y)] + 9(2x + y) = 0 [12 + (x * -4 + -2y * -4)] + 9(2x + y) = 0 [12 + (-4x + 8y)] + 9(2x + y) = 0 Remove brackets around [12 + -4x + 8y] 12 + -4x + 8y + 9(2x + y) = 0 12 + -4x + 8y + (2x * 9 + y * 9) = 0 12 + -4x + 8y + (18x + 9y) = 0 Reorder the terms: 12 + -4x + 18x + 8y + 9y = 0 Combine like terms: -4x + 18x = 14x 12 + 14x + 8y + 9y = 0 Combine like terms: 8y + 9y = 17y 12 + 14x + 17y = 0 Solving 12 + 14x + 17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12' to each side of the equation. 12 + 14x + -12 + 17y = 0 + -12 Reorder the terms: 12 + -12 + 14x + 17y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 14x + 17y = 0 + -12 14x + 17y = 0 + -12 Combine like terms: 0 + -12 = -12 14x + 17y = -12 Add '-17y' to each side of the equation. 14x + 17y + -17y = -12 + -17y Combine like terms: 17y + -17y = 0 14x + 0 = -12 + -17y 14x = -12 + -17y Divide each side by '14'. x = -0.8571428571 + -1.214285714y Simplifying x = -0.8571428571 + -1.214285714y
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