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Simplifying 3.2x + 19.2 = 48.0 + -6.4x Reorder the terms: 19.2 + 3.2x = 48.0 + -6.4x Solving 19.2 + 3.2x = 48.0 + -6.4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6.4x' to each side of the equation. 19.2 + 3.2x + 6.4x = 48.0 + -6.4x + 6.4x Combine like terms: 3.2x + 6.4x = 9.6x 19.2 + 9.6x = 48.0 + -6.4x + 6.4x Combine like terms: -6.4x + 6.4x = 0.0 19.2 + 9.6x = 48.0 + 0.0 19.2 + 9.6x = 48.0 Add '-19.2' to each side of the equation. 19.2 + -19.2 + 9.6x = 48.0 + -19.2 Combine like terms: 19.2 + -19.2 = 0.0 0.0 + 9.6x = 48.0 + -19.2 9.6x = 48.0 + -19.2 Combine like terms: 48.0 + -19.2 = 28.8 9.6x = 28.8 Divide each side by '9.6'. x = 3 Simplifying x = 3
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