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Simplifying 2x + -14.5 = 0.5x + 50 Reorder the terms: -14.5 + 2x = 0.5x + 50 Reorder the terms: -14.5 + 2x = 50 + 0.5x Solving -14.5 + 2x = 50 + 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. -14.5 + 2x + -0.5x = 50 + 0.5x + -0.5x Combine like terms: 2x + -0.5x = 1.5x -14.5 + 1.5x = 50 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 -14.5 + 1.5x = 50 + 0.0 -14.5 + 1.5x = 50 Add '14.5' to each side of the equation. -14.5 + 14.5 + 1.5x = 50 + 14.5 Combine like terms: -14.5 + 14.5 = 0.0 0.0 + 1.5x = 50 + 14.5 1.5x = 50 + 14.5 Combine like terms: 50 + 14.5 = 64.5 1.5x = 64.5 Divide each side by '1.5'. x = 43 Simplifying x = 43
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