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Simplifying x + x + 0.12 + x + 0.12 + 0.82 = 10.78 Reorder the terms: 0.12 + 0.12 + 0.82 + x + x + x = 10.78 Combine like terms: 0.12 + 0.12 = 0.24 0.24 + 0.82 + x + x + x = 10.78 Combine like terms: 0.24 + 0.82 = 1.06 1.06 + x + x + x = 10.78 Combine like terms: x + x = 2x 1.06 + 2x + x = 10.78 Combine like terms: 2x + x = 3x 1.06 + 3x = 10.78 Solving 1.06 + 3x = 10.78 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.06' to each side of the equation. 1.06 + -1.06 + 3x = 10.78 + -1.06 Combine like terms: 1.06 + -1.06 = 0.00 0.00 + 3x = 10.78 + -1.06 3x = 10.78 + -1.06 Combine like terms: 10.78 + -1.06 = 9.72 3x = 9.72 Divide each side by '3'. x = 3.24 Simplifying x = 3.24
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