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Simplifying 0.6x + -5 = 0.1x + 7 Reorder the terms: -5 + 0.6x = 0.1x + 7 Reorder the terms: -5 + 0.6x = 7 + 0.1x Solving -5 + 0.6x = 7 + 0.1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.1x' to each side of the equation. -5 + 0.6x + -0.1x = 7 + 0.1x + -0.1x Combine like terms: 0.6x + -0.1x = 0.5x -5 + 0.5x = 7 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -5 + 0.5x = 7 + 0.0 -5 + 0.5x = 7 Add '5' to each side of the equation. -5 + 5 + 0.5x = 7 + 5 Combine like terms: -5 + 5 = 0 0 + 0.5x = 7 + 5 0.5x = 7 + 5 Combine like terms: 7 + 5 = 12 0.5x = 12 Divide each side by '0.5'. x = 24 Simplifying x = 24
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