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Simplifying 5.78x + 64 = 33.4084 + 8x Reorder the terms: 64 + 5.78x = 33.4084 + 8x Solving 64 + 5.78x = 33.4084 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 64 + 5.78x + -8x = 33.4084 + 8x + -8x Combine like terms: 5.78x + -8x = -2.22x 64 + -2.22x = 33.4084 + 8x + -8x Combine like terms: 8x + -8x = 0 64 + -2.22x = 33.4084 + 0 64 + -2.22x = 33.4084 Add '-64' to each side of the equation. 64 + -64 + -2.22x = 33.4084 + -64 Combine like terms: 64 + -64 = 0 0 + -2.22x = 33.4084 + -64 -2.22x = 33.4084 + -64 Combine like terms: 33.4084 + -64 = -30.5916 -2.22x = -30.5916 Divide each side by '-2.22'. x = 13.78 Simplifying x = 13.78
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