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Simplifying 0.5(x + -8) = 11 + 8x Reorder the terms: 0.5(-8 + x) = 11 + 8x (-8 * 0.5 + x * 0.5) = 11 + 8x (-4 + 0.5x) = 11 + 8x Solving -4 + 0.5x = 11 + 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. -4 + 0.5x + -8x = 11 + 8x + -8x Combine like terms: 0.5x + -8x = -7.5x -4 + -7.5x = 11 + 8x + -8x Combine like terms: 8x + -8x = 0 -4 + -7.5x = 11 + 0 -4 + -7.5x = 11 Add '4' to each side of the equation. -4 + 4 + -7.5x = 11 + 4 Combine like terms: -4 + 4 = 0 0 + -7.5x = 11 + 4 -7.5x = 11 + 4 Combine like terms: 11 + 4 = 15 -7.5x = 15 Divide each side by '-7.5'. x = -2 Simplifying x = -2
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