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Simplifying (10 + -8(x + -2y)) + 9(4x + y) = 0 (10 + (x * -8 + -2y * -8)) + 9(4x + y) = 0 (10 + (-8x + 16y)) + 9(4x + y) = 0 Remove parenthesis around (10 + -8x + 16y) 10 + -8x + 16y + 9(4x + y) = 0 10 + -8x + 16y + (4x * 9 + y * 9) = 0 10 + -8x + 16y + (36x + 9y) = 0 Reorder the terms: 10 + -8x + 36x + 16y + 9y = 0 Combine like terms: -8x + 36x = 28x 10 + 28x + 16y + 9y = 0 Combine like terms: 16y + 9y = 25y 10 + 28x + 25y = 0 Solving 10 + 28x + 25y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10' to each side of the equation. 10 + 28x + -10 + 25y = 0 + -10 Reorder the terms: 10 + -10 + 28x + 25y = 0 + -10 Combine like terms: 10 + -10 = 0 0 + 28x + 25y = 0 + -10 28x + 25y = 0 + -10 Combine like terms: 0 + -10 = -10 28x + 25y = -10 Add '-25y' to each side of the equation. 28x + 25y + -25y = -10 + -25y Combine like terms: 25y + -25y = 0 28x + 0 = -10 + -25y 28x = -10 + -25y Divide each side by '28'. x = -0.3571428571 + -0.8928571429y Simplifying x = -0.3571428571 + -0.8928571429y
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