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Simplifying 0.5(2x + 24) = 5x Reorder the terms: 0.5(24 + 2x) = 5x (24 * 0.5 + 2x * 0.5) = 5x (12 + 1x) = 5x Solving 12 + 1x = 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 12 + 1x + -5x = 5x + -5x Combine like terms: 1x + -5x = -4x 12 + -4x = 5x + -5x Combine like terms: 5x + -5x = 0 12 + -4x = 0 Add '-12' to each side of the equation. 12 + -12 + -4x = 0 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 0 + -12 -4x = 0 + -12 Combine like terms: 0 + -12 = -12 -4x = -12 Divide each side by '-4'. x = 3 Simplifying x = 3
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