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Simplifying 3x + -32 = 1.5x + -24.5 Reorder the terms: -32 + 3x = 1.5x + -24.5 Reorder the terms: -32 + 3x = -24.5 + 1.5x Solving -32 + 3x = -24.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. -32 + 3x + -1.5x = -24.5 + 1.5x + -1.5x Combine like terms: 3x + -1.5x = 1.5x -32 + 1.5x = -24.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -32 + 1.5x = -24.5 + 0.0 -32 + 1.5x = -24.5 Add '32' to each side of the equation. -32 + 32 + 1.5x = -24.5 + 32 Combine like terms: -32 + 32 = 0 0 + 1.5x = -24.5 + 32 1.5x = -24.5 + 32 Combine like terms: -24.5 + 32 = 7.5 1.5x = 7.5 Divide each side by '1.5'. x = 5 Simplifying x = 5
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