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Simplifying 2.78x + 36 = 7.7284 + 6x Reorder the terms: 36 + 2.78x = 7.7284 + 6x Solving 36 + 2.78x = 7.7284 + 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 + 2.78x + -6x = 7.7284 + 6x + -6x Combine like terms: 2.78x + -6x = -3.22x 36 + -3.22x = 7.7284 + 6x + -6x Combine like terms: 6x + -6x = 0 36 + -3.22x = 7.7284 + 0 36 + -3.22x = 7.7284 Add '-36' to each side of the equation. 36 + -36 + -3.22x = 7.7284 + -36 Combine like terms: 36 + -36 = 0 0 + -3.22x = 7.7284 + -36 -3.22x = 7.7284 + -36 Combine like terms: 7.7284 + -36 = -28.2716 -3.22x = -28.2716 Divide each side by '-3.22'. x = 8.78 Simplifying x = 8.78
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