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Simplifying 0.5(x + -60) = 25 + 6x Reorder the terms: 0.5(-60 + x) = 25 + 6x (-60 * 0.5 + x * 0.5) = 25 + 6x (-30 + 0.5x) = 25 + 6x Solving -30 + 0.5x = 25 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -30 + 0.5x + -6x = 25 + 6x + -6x Combine like terms: 0.5x + -6x = -5.5x -30 + -5.5x = 25 + 6x + -6x Combine like terms: 6x + -6x = 0 -30 + -5.5x = 25 + 0 -30 + -5.5x = 25 Add '30' to each side of the equation. -30 + 30 + -5.5x = 25 + 30 Combine like terms: -30 + 30 = 0 0 + -5.5x = 25 + 30 -5.5x = 25 + 30 Combine like terms: 25 + 30 = 55 -5.5x = 55 Divide each side by '-5.5'. x = -10 Simplifying x = -10
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