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Simplifying 0.50(x + -10) = 60 + 7x Reorder the terms: 0.50(-10 + x) = 60 + 7x (-10 * 0.50 + x * 0.50) = 60 + 7x (-5 + 0.50x) = 60 + 7x Solving -5 + 0.50x = 60 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -5 + 0.50x + -7x = 60 + 7x + -7x Combine like terms: 0.50x + -7x = -6.5x -5 + -6.5x = 60 + 7x + -7x Combine like terms: 7x + -7x = 0 -5 + -6.5x = 60 + 0 -5 + -6.5x = 60 Add '5' to each side of the equation. -5 + 5 + -6.5x = 60 + 5 Combine like terms: -5 + 5 = 0 0 + -6.5x = 60 + 5 -6.5x = 60 + 5 Combine like terms: 60 + 5 = 65 -6.5x = 65 Divide each side by '-6.5'. x = -10 Simplifying x = -10
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