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Simplifying 0.50(x + -20) = 35 + 8x Reorder the terms: 0.50(-20 + x) = 35 + 8x (-20 * 0.50 + x * 0.50) = 35 + 8x (-10 + 0.50x) = 35 + 8x Solving -10 + 0.50x = 35 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. -10 + 0.50x + -8x = 35 + 8x + -8x Combine like terms: 0.50x + -8x = -7.5x -10 + -7.5x = 35 + 8x + -8x Combine like terms: 8x + -8x = 0 -10 + -7.5x = 35 + 0 -10 + -7.5x = 35 Add '10' to each side of the equation. -10 + 10 + -7.5x = 35 + 10 Combine like terms: -10 + 10 = 0 0 + -7.5x = 35 + 10 -7.5x = 35 + 10 Combine like terms: 35 + 10 = 45 -7.5x = 45 Divide each side by '-7.5'. x = -6 Simplifying x = -6
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