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Simplifying 0.6(14x + -8000.00) = -0.4(20x + 12000.00) + 20.6x Reorder the terms: 0.6(-8000.00 + 14x) = -0.4(20x + 12000.00) + 20.6x (-8000.00 * 0.6 + 14x * 0.6) = -0.4(20x + 12000.00) + 20.6x (-4800 + 8.4x) = -0.4(20x + 12000.00) + 20.6x Reorder the terms: -4800 + 8.4x = -0.4(12000.00 + 20x) + 20.6x -4800 + 8.4x = (12000.00 * -0.4 + 20x * -0.4) + 20.6x -4800 + 8.4x = (-4800 + -8x) + 20.6x Combine like terms: -8x + 20.6x = 12.6x -4800 + 8.4x = -4800 + 12.6x Add '4800' to each side of the equation. -4800 + 4800 + 8.4x = -4800 + 4800 + 12.6x Combine like terms: -4800 + 4800 = 0 0 + 8.4x = -4800 + 4800 + 12.6x 8.4x = -4800 + 4800 + 12.6x Combine like terms: -4800 + 4800 = 0 8.4x = 0 + 12.6x 8.4x = 12.6x Solving 8.4x = 12.6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12.6x' to each side of the equation. 8.4x + -12.6x = 12.6x + -12.6x Combine like terms: 8.4x + -12.6x = -4.2x -4.2x = 12.6x + -12.6x Combine like terms: 12.6x + -12.6x = 0.0 -4.2x = 0.0 Divide each side by '-4.2'. x = 0 Simplifying x = 0
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