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Simplifying 11.2x + 38.6 + -12.1x + -13.8 = 0 Reorder the terms: 38.6 + -13.8 + 11.2x + -12.1x = 0 Combine like terms: 38.6 + -13.8 = 24.8 24.8 + 11.2x + -12.1x = 0 Combine like terms: 11.2x + -12.1x = -0.9x 24.8 + -0.9x = 0 Solving 24.8 + -0.9x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-24.8' to each side of the equation. 24.8 + -24.8 + -0.9x = 0 + -24.8 Combine like terms: 24.8 + -24.8 = 0.0 0.0 + -0.9x = 0 + -24.8 -0.9x = 0 + -24.8 Combine like terms: 0 + -24.8 = -24.8 -0.9x = -24.8 Divide each side by '-0.9'. x = 27.55555556 Simplifying x = 27.55555556
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