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Simplifying 7.8x + -8 = 1.3x + 2 Reorder the terms: -8 + 7.8x = 1.3x + 2 Reorder the terms: -8 + 7.8x = 2 + 1.3x Solving -8 + 7.8x = 2 + 1.3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.3x' to each side of the equation. -8 + 7.8x + -1.3x = 2 + 1.3x + -1.3x Combine like terms: 7.8x + -1.3x = 6.5x -8 + 6.5x = 2 + 1.3x + -1.3x Combine like terms: 1.3x + -1.3x = 0.0 -8 + 6.5x = 2 + 0.0 -8 + 6.5x = 2 Add '8' to each side of the equation. -8 + 8 + 6.5x = 2 + 8 Combine like terms: -8 + 8 = 0 0 + 6.5x = 2 + 8 6.5x = 2 + 8 Combine like terms: 2 + 8 = 10 6.5x = 10 Divide each side by '6.5'. x = 1.538461538 Simplifying x = 1.538461538
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