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Simplifying 8x + -0.6 = 0.9x + 4.1 Reorder the terms: -0.6 + 8x = 0.9x + 4.1 Reorder the terms: -0.6 + 8x = 4.1 + 0.9x Solving -0.6 + 8x = 4.1 + 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. -0.6 + 8x + -0.9x = 4.1 + 0.9x + -0.9x Combine like terms: 8x + -0.9x = 7.1x -0.6 + 7.1x = 4.1 + 0.9x + -0.9x Combine like terms: 0.9x + -0.9x = 0.0 -0.6 + 7.1x = 4.1 + 0.0 -0.6 + 7.1x = 4.1 Add '0.6' to each side of the equation. -0.6 + 0.6 + 7.1x = 4.1 + 0.6 Combine like terms: -0.6 + 0.6 = 0.0 0.0 + 7.1x = 4.1 + 0.6 7.1x = 4.1 + 0.6 Combine like terms: 4.1 + 0.6 = 4.7 7.1x = 4.7 Divide each side by '7.1'. x = 0.661971831 Simplifying x = 0.661971831
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