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Simplifying 2.3x + 24.8 = 6.5x + 3.8 Reorder the terms: 24.8 + 2.3x = 6.5x + 3.8 Reorder the terms: 24.8 + 2.3x = 3.8 + 6.5x Solving 24.8 + 2.3x = 3.8 + 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. 24.8 + 2.3x + -6.5x = 3.8 + 6.5x + -6.5x Combine like terms: 2.3x + -6.5x = -4.2x 24.8 + -4.2x = 3.8 + 6.5x + -6.5x Combine like terms: 6.5x + -6.5x = 0.0 24.8 + -4.2x = 3.8 + 0.0 24.8 + -4.2x = 3.8 Add '-24.8' to each side of the equation. 24.8 + -24.8 + -4.2x = 3.8 + -24.8 Combine like terms: 24.8 + -24.8 = 0.0 0.0 + -4.2x = 3.8 + -24.8 -4.2x = 3.8 + -24.8 Combine like terms: 3.8 + -24.8 = -21 -4.2x = -21 Divide each side by '-4.2'. x = 5 Simplifying x = 5
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