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Simplifying 8.14 + 13.02 = 5.16x + 33.88 Combine like terms: 8.14 + 13.02 = 21.16 21.16 = 5.16x + 33.88 Reorder the terms: 21.16 = 33.88 + 5.16x Solving 21.16 = 33.88 + 5.16x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5.16x' to each side of the equation. 21.16 + -5.16x = 33.88 + 5.16x + -5.16x Combine like terms: 5.16x + -5.16x = 0.00 21.16 + -5.16x = 33.88 + 0.00 21.16 + -5.16x = 33.88 Add '-21.16' to each side of the equation. 21.16 + -21.16 + -5.16x = 33.88 + -21.16 Combine like terms: 21.16 + -21.16 = 0.00 0.00 + -5.16x = 33.88 + -21.16 -5.16x = 33.88 + -21.16 Combine like terms: 33.88 + -21.16 = 12.72 -5.16x = 12.72 Divide each side by '-5.16'. x = -2.465116279 Simplifying x = -2.465116279
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