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Simplifying 24 + 2x = 27 + 1.5x Solving 24 + 2x = 27 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 24 + 2x + -1.5x = 27 + 1.5x + -1.5x Combine like terms: 2x + -1.5x = 0.5x 24 + 0.5x = 27 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 24 + 0.5x = 27 + 0.0 24 + 0.5x = 27 Add '-24' to each side of the equation. 24 + -24 + 0.5x = 27 + -24 Combine like terms: 24 + -24 = 0 0 + 0.5x = 27 + -24 0.5x = 27 + -24 Combine like terms: 27 + -24 = 3 0.5x = 3 Divide each side by '0.5'. x = 6 Simplifying x = 6
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