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Simplifying 0.5x + -32 = 3x + 20.5 Reorder the terms: -32 + 0.5x = 3x + 20.5 Reorder the terms: -32 + 0.5x = 20.5 + 3x Solving -32 + 0.5x = 20.5 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -32 + 0.5x + -3x = 20.5 + 3x + -3x Combine like terms: 0.5x + -3x = -2.5x -32 + -2.5x = 20.5 + 3x + -3x Combine like terms: 3x + -3x = 0 -32 + -2.5x = 20.5 + 0 -32 + -2.5x = 20.5 Add '32' to each side of the equation. -32 + 32 + -2.5x = 20.5 + 32 Combine like terms: -32 + 32 = 0 0 + -2.5x = 20.5 + 32 -2.5x = 20.5 + 32 Combine like terms: 20.5 + 32 = 52.5 -2.5x = 52.5 Divide each side by '-2.5'. x = -21 Simplifying x = -21
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