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Simplifying 0.5(x + -8) = 9 + 7x Reorder the terms: 0.5(-8 + x) = 9 + 7x (-8 * 0.5 + x * 0.5) = 9 + 7x (-4 + 0.5x) = 9 + 7x Solving -4 + 0.5x = 9 + 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. -4 + 0.5x + -7x = 9 + 7x + -7x Combine like terms: 0.5x + -7x = -6.5x -4 + -6.5x = 9 + 7x + -7x Combine like terms: 7x + -7x = 0 -4 + -6.5x = 9 + 0 -4 + -6.5x = 9 Add '4' to each side of the equation. -4 + 4 + -6.5x = 9 + 4 Combine like terms: -4 + 4 = 0 0 + -6.5x = 9 + 4 -6.5x = 9 + 4 Combine like terms: 9 + 4 = 13 -6.5x = 13 Divide each side by '-6.5'. x = -2 Simplifying x = -2
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