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Simplifying 3(x + 4) + 8 = 0.5x Reorder the terms: 3(4 + x) + 8 = 0.5x (4 * 3 + x * 3) + 8 = 0.5x (12 + 3x) + 8 = 0.5x Reorder the terms: 12 + 8 + 3x = 0.5x Combine like terms: 12 + 8 = 20 20 + 3x = 0.5x Solving 20 + 3x = 0.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.5x' to each side of the equation. 20 + 3x + -0.5x = 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x 20 + 2.5x = 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 20 + 2.5x = 0.0 Add '-20' to each side of the equation. 20 + -20 + 2.5x = 0.0 + -20 Combine like terms: 20 + -20 = 0 0 + 2.5x = 0.0 + -20 2.5x = 0.0 + -20 Combine like terms: 0.0 + -20 = -20 2.5x = -20 Divide each side by '2.5'. x = -8 Simplifying x = -8
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