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Simplifying 8.2x + -33.4 = 1.7 + -3.5x Reorder the terms: -33.4 + 8.2x = 1.7 + -3.5x Solving -33.4 + 8.2x = 1.7 + -3.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3.5x' to each side of the equation. -33.4 + 8.2x + 3.5x = 1.7 + -3.5x + 3.5x Combine like terms: 8.2x + 3.5x = 11.7x -33.4 + 11.7x = 1.7 + -3.5x + 3.5x Combine like terms: -3.5x + 3.5x = 0.0 -33.4 + 11.7x = 1.7 + 0.0 -33.4 + 11.7x = 1.7 Add '33.4' to each side of the equation. -33.4 + 33.4 + 11.7x = 1.7 + 33.4 Combine like terms: -33.4 + 33.4 = 0.0 0.0 + 11.7x = 1.7 + 33.4 11.7x = 1.7 + 33.4 Combine like terms: 1.7 + 33.4 = 35.1 11.7x = 35.1 Divide each side by '11.7'. x = 3 Simplifying x = 3
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