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Simplifying 6.42x + 25 = 41.2164x + 5x Reorder the terms: 25 + 6.42x = 41.2164x + 5x Combine like terms: 41.2164x + 5x = 46.2164x 25 + 6.42x = 46.2164x Solving 25 + 6.42x = 46.2164x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-46.2164x' to each side of the equation. 25 + 6.42x + -46.2164x = 46.2164x + -46.2164x Combine like terms: 6.42x + -46.2164x = -39.7964x 25 + -39.7964x = 46.2164x + -46.2164x Combine like terms: 46.2164x + -46.2164x = 0.0000 25 + -39.7964x = 0.0000 Add '-25' to each side of the equation. 25 + -25 + -39.7964x = 0.0000 + -25 Combine like terms: 25 + -25 = 0 0 + -39.7964x = 0.0000 + -25 -39.7964x = 0.0000 + -25 Combine like terms: 0.0000 + -25 = -25 -39.7964x = -25 Divide each side by '-39.7964'. x = 0.6281975254 Simplifying x = 0.6281975254
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