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Simplifying 0.5(x + -12) = 39 + 5x Reorder the terms: 0.5(-12 + x) = 39 + 5x (-12 * 0.5 + x * 0.5) = 39 + 5x (-6 + 0.5x) = 39 + 5x Solving -6 + 0.5x = 39 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -6 + 0.5x + -5x = 39 + 5x + -5x Combine like terms: 0.5x + -5x = -4.5x -6 + -4.5x = 39 + 5x + -5x Combine like terms: 5x + -5x = 0 -6 + -4.5x = 39 + 0 -6 + -4.5x = 39 Add '6' to each side of the equation. -6 + 6 + -4.5x = 39 + 6 Combine like terms: -6 + 6 = 0 0 + -4.5x = 39 + 6 -4.5x = 39 + 6 Combine like terms: 39 + 6 = 45 -4.5x = 45 Divide each side by '-4.5'. x = -10 Simplifying x = -10
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