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Simplifying 0.5x + -32 = 7x + 20.5 Reorder the terms: -32 + 0.5x = 7x + 20.5 Reorder the terms: -32 + 0.5x = 20.5 + 7x Solving -32 + 0.5x = 20.5 + 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. -32 + 0.5x + -7x = 20.5 + 7x + -7x Combine like terms: 0.5x + -7x = -6.5x -32 + -6.5x = 20.5 + 7x + -7x Combine like terms: 7x + -7x = 0 -32 + -6.5x = 20.5 + 0 -32 + -6.5x = 20.5 Add '32' to each side of the equation. -32 + 32 + -6.5x = 20.5 + 32 Combine like terms: -32 + 32 = 0 0 + -6.5x = 20.5 + 32 -6.5x = 20.5 + 32 Combine like terms: 20.5 + 32 = 52.5 -6.5x = 52.5 Divide each side by '-6.5'. x = -8.076923077 Simplifying x = -8.076923077
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