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Simplifying 0.5(6x + 8) + 3x = 5x + 25 Reorder the terms: 0.5(8 + 6x) + 3x = 5x + 25 (8 * 0.5 + 6x * 0.5) + 3x = 5x + 25 (4 + 3x) + 3x = 5x + 25 Combine like terms: 3x + 3x = 6x 4 + 6x = 5x + 25 Reorder the terms: 4 + 6x = 25 + 5x Solving 4 + 6x = 25 + 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. 4 + 6x + -5x = 25 + 5x + -5x Combine like terms: 6x + -5x = 1x 4 + 1x = 25 + 5x + -5x Combine like terms: 5x + -5x = 0 4 + 1x = 25 + 0 4 + 1x = 25 Add '-4' to each side of the equation. 4 + -4 + 1x = 25 + -4 Combine like terms: 4 + -4 = 0 0 + 1x = 25 + -4 1x = 25 + -4 Combine like terms: 25 + -4 = 21 1x = 21 Divide each side by '1'. x = 21 Simplifying x = 21
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