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Simplifying 0.35x + -4.8 = 5.2 + -0.9x Reorder the terms: -4.8 + 0.35x = 5.2 + -0.9x Solving -4.8 + 0.35x = 5.2 + -0.9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '0.9x' to each side of the equation. -4.8 + 0.35x + 0.9x = 5.2 + -0.9x + 0.9x Combine like terms: 0.35x + 0.9x = 1.25x -4.8 + 1.25x = 5.2 + -0.9x + 0.9x Combine like terms: -0.9x + 0.9x = 0.0 -4.8 + 1.25x = 5.2 + 0.0 -4.8 + 1.25x = 5.2 Add '4.8' to each side of the equation. -4.8 + 4.8 + 1.25x = 5.2 + 4.8 Combine like terms: -4.8 + 4.8 = 0.0 0.0 + 1.25x = 5.2 + 4.8 1.25x = 5.2 + 4.8 Combine like terms: 5.2 + 4.8 = 10 1.25x = 10 Divide each side by '1.25'. x = 8 Simplifying x = 8
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