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Simplifying 0.6x + -0.04 = 0.5x + 6 Reorder the terms: -0.04 + 0.6x = 0.5x + 6 Reorder the terms: -0.04 + 0.6x = 6 + 0.5x Solving -0.04 + 0.6x = 6 + 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. -0.04 + 0.6x + -0.5x = 6 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x -0.04 + 0.1x = 6 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -0.04 + 0.1x = 6 + 0.0 -0.04 + 0.1x = 6 Add '0.04' to each side of the equation. -0.04 + 0.04 + 0.1x = 6 + 0.04 Combine like terms: -0.04 + 0.04 = 0.00 0.00 + 0.1x = 6 + 0.04 0.1x = 6 + 0.04 Combine like terms: 6 + 0.04 = 6.04 0.1x = 6.04 Divide each side by '0.1'. x = 60.4 Simplifying x = 60.4
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