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Simplifying 12 = 0.5(3x + -8) Reorder the terms: 12 = 0.5(-8 + 3x) 12 = (-8 * 0.5 + 3x * 0.5) 12 = (-4 + 1.5x) Solving 12 = -4 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 12 + -1.5x = -4 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 12 + -1.5x = -4 + 0.0 12 + -1.5x = -4 Add '-12' to each side of the equation. 12 + -12 + -1.5x = -4 + -12 Combine like terms: 12 + -12 = 0 0 + -1.5x = -4 + -12 -1.5x = -4 + -12 Combine like terms: -4 + -12 = -16 -1.5x = -16 Divide each side by '-1.5'. x = 10.66666667 Simplifying x = 10.66666667
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