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Simplifying 3.4x + 8.3 = 1.7x + 20.2 Reorder the terms: 8.3 + 3.4x = 1.7x + 20.2 Reorder the terms: 8.3 + 3.4x = 20.2 + 1.7x Solving 8.3 + 3.4x = 20.2 + 1.7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.7x' to each side of the equation. 8.3 + 3.4x + -1.7x = 20.2 + 1.7x + -1.7x Combine like terms: 3.4x + -1.7x = 1.7x 8.3 + 1.7x = 20.2 + 1.7x + -1.7x Combine like terms: 1.7x + -1.7x = 0.0 8.3 + 1.7x = 20.2 + 0.0 8.3 + 1.7x = 20.2 Add '-8.3' to each side of the equation. 8.3 + -8.3 + 1.7x = 20.2 + -8.3 Combine like terms: 8.3 + -8.3 = 0.0 0.0 + 1.7x = 20.2 + -8.3 1.7x = 20.2 + -8.3 Combine like terms: 20.2 + -8.3 = 11.9 1.7x = 11.9 Divide each side by '1.7'. x = 7 Simplifying x = 7
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