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Simplifying 4x + 6y + -8(4x + -3y) = 0 4x + 6y + (4x * -8 + -3y * -8) = 0 4x + 6y + (-32x + 24y) = 0 Reorder the terms: 4x + -32x + 6y + 24y = 0 Combine like terms: 4x + -32x = -28x -28x + 6y + 24y = 0 Combine like terms: 6y + 24y = 30y -28x + 30y = 0 Solving -28x + 30y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30y' to each side of the equation. -28x + 30y + -30y = 0 + -30y Combine like terms: 30y + -30y = 0 -28x + 0 = 0 + -30y -28x = 0 + -30y Remove the zero: -28x = -30y Divide each side by '-28'. x = 1.071428571y Simplifying x = 1.071428571y
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