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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 Solving 12 + 3x = -8 + 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. 12 + 3x + -0.5x = -8 + 0.5x + -0.5x Combine like terms: 3x + -0.5x = 2.5x 12 + 2.5x = -8 + 0.5x + -0.5x Combine like terms: 0.5x + -0.5x = 0.0 12 + 2.5x = -8 + 0.0 12 + 2.5x = -8 Add '-12' to each side of the equation. 12 + -12 + 2.5x = -8 + -12 Combine like terms: 12 + -12 = 0 0 + 2.5x = -8 + -12 2.5x = -8 + -12 Combine like terms: -8 + -12 = -20 2.5x = -20 Divide each side by '2.5'. x = -8 Simplifying x = -8
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