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Simplifying 6x + 24 = 4.5x + 12 Reorder the terms: 24 + 6x = 4.5x + 12 Reorder the terms: 24 + 6x = 12 + 4.5x Solving 24 + 6x = 12 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 24 + 6x + -4.5x = 12 + 4.5x + -4.5x Combine like terms: 6x + -4.5x = 1.5x 24 + 1.5x = 12 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 24 + 1.5x = 12 + 0.0 24 + 1.5x = 12 Add '-24' to each side of the equation. 24 + -24 + 1.5x = 12 + -24 Combine like terms: 24 + -24 = 0 0 + 1.5x = 12 + -24 1.5x = 12 + -24 Combine like terms: 12 + -24 = -12 1.5x = -12 Divide each side by '1.5'. x = -8 Simplifying x = -8
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