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Simplifying (0.75x + -6) + 8x = 2.5x + 10 Reorder the terms: (-6 + 0.75x) + 8x = 2.5x + 10 Remove parenthesis around (-6 + 0.75x) -6 + 0.75x + 8x = 2.5x + 10 Combine like terms: 0.75x + 8x = 8.75x -6 + 8.75x = 2.5x + 10 Reorder the terms: -6 + 8.75x = 10 + 2.5x Solving -6 + 8.75x = 10 + 2.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2.5x' to each side of the equation. -6 + 8.75x + -2.5x = 10 + 2.5x + -2.5x Combine like terms: 8.75x + -2.5x = 6.25x -6 + 6.25x = 10 + 2.5x + -2.5x Combine like terms: 2.5x + -2.5x = 0.0 -6 + 6.25x = 10 + 0.0 -6 + 6.25x = 10 Add '6' to each side of the equation. -6 + 6 + 6.25x = 10 + 6 Combine like terms: -6 + 6 = 0 0 + 6.25x = 10 + 6 6.25x = 10 + 6 Combine like terms: 10 + 6 = 16 6.25x = 16 Divide each side by '6.25'. x = 2.56 Simplifying x = 2.56
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