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Simplifying 2.5x + 12 = x + 24 Reorder the terms: 12 + 2.5x = x + 24 Reorder the terms: 12 + 2.5x = 24 + x Solving 12 + 2.5x = 24 + 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. 12 + 2.5x + -1x = 24 + x + -1x Combine like terms: 2.5x + -1x = 1.5x 12 + 1.5x = 24 + x + -1x Combine like terms: x + -1x = 0 12 + 1.5x = 24 + 0 12 + 1.5x = 24 Add '-12' to each side of the equation. 12 + -12 + 1.5x = 24 + -12 Combine like terms: 12 + -12 = 0 0 + 1.5x = 24 + -12 1.5x = 24 + -12 Combine like terms: 24 + -12 = 12 1.5x = 12 Divide each side by '1.5'. x = 8 Simplifying x = 8
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