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Simplifying 6x + -24 = 0.5(2x + 12) Reorder the terms: -24 + 6x = 0.5(2x + 12) Reorder the terms: -24 + 6x = 0.5(12 + 2x) -24 + 6x = (12 * 0.5 + 2x * 0.5) -24 + 6x = (6 + 1x) Solving -24 + 6x = 6 + 1x 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. -24 + 6x + -1x = 6 + 1x + -1x Combine like terms: 6x + -1x = 5x -24 + 5x = 6 + 1x + -1x Combine like terms: 1x + -1x = 0 -24 + 5x = 6 + 0 -24 + 5x = 6 Add '24' to each side of the equation. -24 + 24 + 5x = 6 + 24 Combine like terms: -24 + 24 = 0 0 + 5x = 6 + 24 5x = 6 + 24 Combine like terms: 6 + 24 = 30 5x = 30 Divide each side by '5'. x = 6 Simplifying x = 6
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