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Simplifying 1.5x + 14 = 26 + 0.5x Reorder the terms: 14 + 1.5x = 26 + 0.5x Solving 14 + 1.5x = 26 + 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 + 1.5x + -0.5x = 26 + 0.5x + -0.5x Combine like terms: 1.5x + -0.5x = 1x 14 + 1x = 26 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 14 + 1x = 26 + 0.0 14 + 1x = 26 Add '-14' to each side of the equation. 14 + -14 + 1x = 26 + -14 Combine like terms: 14 + -14 = 0 0 + 1x = 26 + -14 1x = 26 + -14 Combine like terms: 26 + -14 = 12 1x = 12 Divide each side by '1'. x = 12 Simplifying x = 12
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