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Simplifying 0.6x + -2 = 0.1x + 13 Reorder the terms: -2 + 0.6x = 0.1x + 13 Reorder the terms: -2 + 0.6x = 13 + 0.1x Solving -2 + 0.6x = 13 + 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. -2 + 0.6x + -0.1x = 13 + 0.1x + -0.1x Combine like terms: 0.6x + -0.1x = 0.5x -2 + 0.5x = 13 + 0.1x + -0.1x Combine like terms: 0.1x + -0.1x = 0.0 -2 + 0.5x = 13 + 0.0 -2 + 0.5x = 13 Add '2' to each side of the equation. -2 + 2 + 0.5x = 13 + 2 Combine like terms: -2 + 2 = 0 0 + 0.5x = 13 + 2 0.5x = 13 + 2 Combine like terms: 13 + 2 = 15 0.5x = 15 Divide each side by '0.5'. x = 30 Simplifying x = 30
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