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Simplifying 0.6x + -14 = 0.5x + -6.5 Reorder the terms: -14 + 0.6x = 0.5x + -6.5 Reorder the terms: -14 + 0.6x = -6.5 + 0.5x Solving -14 + 0.6x = -6.5 + 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. -14 + 0.6x + -0.5x = -6.5 + 0.5x + -0.5x Combine like terms: 0.6x + -0.5x = 0.1x -14 + 0.1x = -6.5 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -14 + 0.1x = -6.5 + 0.0 -14 + 0.1x = -6.5 Add '14' to each side of the equation. -14 + 14 + 0.1x = -6.5 + 14 Combine like terms: -14 + 14 = 0 0 + 0.1x = -6.5 + 14 0.1x = -6.5 + 14 Combine like terms: -6.5 + 14 = 7.5 0.1x = 7.5 Divide each side by '0.1'. x = 75 Simplifying x = 75
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