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Simplifying 78(x + -11) = 0.2x + 48.2 Reorder the terms: 78(-11 + x) = 0.2x + 48.2 (-11 * 78 + x * 78) = 0.2x + 48.2 (-858 + 78x) = 0.2x + 48.2 Reorder the terms: -858 + 78x = 48.2 + 0.2x Solving -858 + 78x = 48.2 + 0.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.2x' to each side of the equation. -858 + 78x + -0.2x = 48.2 + 0.2x + -0.2x Combine like terms: 78x + -0.2x = 77.8x -858 + 77.8x = 48.2 + 0.2x + -0.2x Combine like terms: 0.2x + -0.2x = 0.0 -858 + 77.8x = 48.2 + 0.0 -858 + 77.8x = 48.2 Add '858' to each side of the equation. -858 + 858 + 77.8x = 48.2 + 858 Combine like terms: -858 + 858 = 0 0 + 77.8x = 48.2 + 858 77.8x = 48.2 + 858 Combine like terms: 48.2 + 858 = 906.2 77.8x = 906.2 Divide each side by '77.8'. x = 11.64781491 Simplifying x = 11.64781491
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