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Simplifying 11.8x + 42.3 + -12.3x + -11.8 = 0 Reorder the terms: 42.3 + -11.8 + 11.8x + -12.3x = 0 Combine like terms: 42.3 + -11.8 = 30.5 30.5 + 11.8x + -12.3x = 0 Combine like terms: 11.8x + -12.3x = -0.5x 30.5 + -0.5x = 0 Solving 30.5 + -0.5x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30.5' to each side of the equation. 30.5 + -30.5 + -0.5x = 0 + -30.5 Combine like terms: 30.5 + -30.5 = 0.0 0.0 + -0.5x = 0 + -30.5 -0.5x = 0 + -30.5 Combine like terms: 0 + -30.5 = -30.5 -0.5x = -30.5 Divide each side by '-0.5'. x = 61 Simplifying x = 61
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