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Simplifying 3.2x + 19.4 = 48.5 + -6.5x Reorder the terms: 19.4 + 3.2x = 48.5 + -6.5x Solving 19.4 + 3.2x = 48.5 + -6.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.5x' to each side of the equation. 19.4 + 3.2x + 6.5x = 48.5 + -6.5x + 6.5x Combine like terms: 3.2x + 6.5x = 9.7x 19.4 + 9.7x = 48.5 + -6.5x + 6.5x Combine like terms: -6.5x + 6.5x = 0.0 19.4 + 9.7x = 48.5 + 0.0 19.4 + 9.7x = 48.5 Add '-19.4' to each side of the equation. 19.4 + -19.4 + 9.7x = 48.5 + -19.4 Combine like terms: 19.4 + -19.4 = 0.0 0.0 + 9.7x = 48.5 + -19.4 9.7x = 48.5 + -19.4 Combine like terms: 48.5 + -19.4 = 29.1 9.7x = 29.1 Divide each side by '9.7'. x = 3 Simplifying x = 3
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