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Simplifying 1.8 + 40.9x = 421.8 + -1.1x Solving 1.8 + 40.9x = 421.8 + -1.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '1.1x' to each side of the equation. 1.8 + 40.9x + 1.1x = 421.8 + -1.1x + 1.1x Combine like terms: 40.9x + 1.1x = 42x 1.8 + 42x = 421.8 + -1.1x + 1.1x Combine like terms: -1.1x + 1.1x = 0.0 1.8 + 42x = 421.8 + 0.0 1.8 + 42x = 421.8 Add '-1.8' to each side of the equation. 1.8 + -1.8 + 42x = 421.8 + -1.8 Combine like terms: 1.8 + -1.8 = 0.0 0.0 + 42x = 421.8 + -1.8 42x = 421.8 + -1.8 Combine like terms: 421.8 + -1.8 = 420 42x = 420 Divide each side by '42'. x = 10 Simplifying x = 10
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