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Simplifying 8.2x + -6.4 = 4.2x + 5.6 Reorder the terms: -6.4 + 8.2x = 4.2x + 5.6 Reorder the terms: -6.4 + 8.2x = 5.6 + 4.2x Solving -6.4 + 8.2x = 5.6 + 4.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.2x' to each side of the equation. -6.4 + 8.2x + -4.2x = 5.6 + 4.2x + -4.2x Combine like terms: 8.2x + -4.2x = 4x -6.4 + 4x = 5.6 + 4.2x + -4.2x Combine like terms: 4.2x + -4.2x = 0.0 -6.4 + 4x = 5.6 + 0.0 -6.4 + 4x = 5.6 Add '6.4' to each side of the equation. -6.4 + 6.4 + 4x = 5.6 + 6.4 Combine like terms: -6.4 + 6.4 = 0.0 0.0 + 4x = 5.6 + 6.4 4x = 5.6 + 6.4 Combine like terms: 5.6 + 6.4 = 12 4x = 12 Divide each side by '4'. x = 3 Simplifying x = 3
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