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Simplifying x + x + 0.50 + x + 0.50 + 0.20 = 10.02 Reorder the terms: 0.50 + 0.50 + 0.20 + x + x + x = 10.02 Combine like terms: 0.50 + 0.50 = 1 1 + 0.20 + x + x + x = 10.02 Combine like terms: 1 + 0.20 = 1.2 1.2 + x + x + x = 10.02 Combine like terms: x + x = 2x 1.2 + 2x + x = 10.02 Combine like terms: 2x + x = 3x 1.2 + 3x = 10.02 Solving 1.2 + 3x = 10.02 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2' to each side of the equation. 1.2 + -1.2 + 3x = 10.02 + -1.2 Combine like terms: 1.2 + -1.2 = 0.0 0.0 + 3x = 10.02 + -1.2 3x = 10.02 + -1.2 Combine like terms: 10.02 + -1.2 = 8.82 3x = 8.82 Divide each side by '3'. x = 2.94 Simplifying x = 2.94
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