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Simplifying 0.50(7x + 8) = 14 + 3x Reorder the terms: 0.50(8 + 7x) = 14 + 3x (8 * 0.50 + 7x * 0.50) = 14 + 3x (4 + 3.5x) = 14 + 3x Solving 4 + 3.5x = 14 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4 + 3.5x + -3x = 14 + 3x + -3x Combine like terms: 3.5x + -3x = 0.5x 4 + 0.5x = 14 + 3x + -3x Combine like terms: 3x + -3x = 0 4 + 0.5x = 14 + 0 4 + 0.5x = 14 Add '-4' to each side of the equation. 4 + -4 + 0.5x = 14 + -4 Combine like terms: 4 + -4 = 0 0 + 0.5x = 14 + -4 0.5x = 14 + -4 Combine like terms: 14 + -4 = 10 0.5x = 10 Divide each side by '0.5'. x = 20 Simplifying x = 20
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