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Simplifying 0.1x + -33 + 0.4x + -40 = 180 Reorder the terms: -33 + -40 + 0.1x + 0.4x = 180 Combine like terms: -33 + -40 = -73 -73 + 0.1x + 0.4x = 180 Combine like terms: 0.1x + 0.4x = 0.5x -73 + 0.5x = 180 Solving -73 + 0.5x = 180 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '73' to each side of the equation. -73 + 73 + 0.5x = 180 + 73 Combine like terms: -73 + 73 = 0 0 + 0.5x = 180 + 73 0.5x = 180 + 73 Combine like terms: 180 + 73 = 253 0.5x = 253 Divide each side by '0.5'. x = 506 Simplifying x = 506
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