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Simplifying 1.7x + -32 = 1.2x + 9 Reorder the terms: -32 + 1.7x = 1.2x + 9 Reorder the terms: -32 + 1.7x = 9 + 1.2x Solving -32 + 1.7x = 9 + 1.2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.2x' to each side of the equation. -32 + 1.7x + -1.2x = 9 + 1.2x + -1.2x Combine like terms: 1.7x + -1.2x = 0.5x -32 + 0.5x = 9 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -32 + 0.5x = 9 + 0.0 -32 + 0.5x = 9 Add '32' to each side of the equation. -32 + 32 + 0.5x = 9 + 32 Combine like terms: -32 + 32 = 0 0 + 0.5x = 9 + 32 0.5x = 9 + 32 Combine like terms: 9 + 32 = 41 0.5x = 41 Divide each side by '0.5'. x = 82 Simplifying x = 82
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