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Simplifying 8.2 = 10x + 3.5 Reorder the terms: 8.2 = 3.5 + 10x Solving 8.2 = 3.5 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. 8.2 + -10x = 3.5 + 10x + -10x Combine like terms: 10x + -10x = 0 8.2 + -10x = 3.5 + 0 8.2 + -10x = 3.5 Add '-8.2' to each side of the equation. 8.2 + -8.2 + -10x = 3.5 + -8.2 Combine like terms: 8.2 + -8.2 = 0.0 0.0 + -10x = 3.5 + -8.2 -10x = 3.5 + -8.2 Combine like terms: 3.5 + -8.2 = -4.7 -10x = -4.7 Divide each side by '-10'. x = 0.47 Simplifying x = 0.47
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