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Simplifying 0.5x + 14.2 = x + -5.9 Reorder the terms: 14.2 + 0.5x = x + -5.9 Reorder the terms: 14.2 + 0.5x = -5.9 + x Solving 14.2 + 0.5x = -5.9 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 14.2 + 0.5x + -1x = -5.9 + x + -1x Combine like terms: 0.5x + -1x = -0.5x 14.2 + -0.5x = -5.9 + x + -1x Combine like terms: x + -1x = 0 14.2 + -0.5x = -5.9 + 0 14.2 + -0.5x = -5.9 Add '-14.2' to each side of the equation. 14.2 + -14.2 + -0.5x = -5.9 + -14.2 Combine like terms: 14.2 + -14.2 = 0.0 0.0 + -0.5x = -5.9 + -14.2 -0.5x = -5.9 + -14.2 Combine like terms: -5.9 + -14.2 = -20.1 -0.5x = -20.1 Divide each side by '-0.5'. x = 40.2 Simplifying x = 40.2
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