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Simplifying 4.78x + 36 = 22.8484 + 6x Reorder the terms: 36 + 4.78x = 22.8484 + 6x Solving 36 + 4.78x = 22.8484 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 36 + 4.78x + -6x = 22.8484 + 6x + -6x Combine like terms: 4.78x + -6x = -1.22x 36 + -1.22x = 22.8484 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -1.22x = 22.8484 + 0 36 + -1.22x = 22.8484 Add '-36' to each side of the equation. 36 + -36 + -1.22x = 22.8484 + -36 Combine like terms: 36 + -36 = 0 0 + -1.22x = 22.8484 + -36 -1.22x = 22.8484 + -36 Combine like terms: 22.8484 + -36 = -13.1516 -1.22x = -13.1516 Divide each side by '-1.22'. x = 10.78 Simplifying x = 10.78
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