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Simplifying 12x + 42 + -45x + -165 = 20x + -80 + -45 Reorder the terms: 42 + -165 + 12x + -45x = 20x + -80 + -45 Combine like terms: 42 + -165 = -123 -123 + 12x + -45x = 20x + -80 + -45 Combine like terms: 12x + -45x = -33x -123 + -33x = 20x + -80 + -45 Reorder the terms: -123 + -33x = -80 + -45 + 20x Combine like terms: -80 + -45 = -125 -123 + -33x = -125 + 20x Solving -123 + -33x = -125 + 20x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-20x' to each side of the equation. -123 + -33x + -20x = -125 + 20x + -20x Combine like terms: -33x + -20x = -53x -123 + -53x = -125 + 20x + -20x Combine like terms: 20x + -20x = 0 -123 + -53x = -125 + 0 -123 + -53x = -125 Add '123' to each side of the equation. -123 + 123 + -53x = -125 + 123 Combine like terms: -123 + 123 = 0 0 + -53x = -125 + 123 -53x = -125 + 123 Combine like terms: -125 + 123 = -2 -53x = -2 Divide each side by '-53'. x = 0.03773584906 Simplifying x = 0.03773584906
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