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Simplifying 3(0.5x + 8) = 4x + -12 Reorder the terms: 3(8 + 0.5x) = 4x + -12 (8 * 3 + 0.5x * 3) = 4x + -12 (24 + 1.5x) = 4x + -12 Reorder the terms: 24 + 1.5x = -12 + 4x Solving 24 + 1.5x = -12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 24 + 1.5x + -4x = -12 + 4x + -4x Combine like terms: 1.5x + -4x = -2.5x 24 + -2.5x = -12 + 4x + -4x Combine like terms: 4x + -4x = 0 24 + -2.5x = -12 + 0 24 + -2.5x = -12 Add '-24' to each side of the equation. 24 + -24 + -2.5x = -12 + -24 Combine like terms: 24 + -24 = 0 0 + -2.5x = -12 + -24 -2.5x = -12 + -24 Combine like terms: -12 + -24 = -36 -2.5x = -36 Divide each side by '-2.5'. x = 14.4 Simplifying x = 14.4
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