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Simplifying 1.7x + -31 = 1.2x + 5 Reorder the terms: -31 + 1.7x = 1.2x + 5 Reorder the terms: -31 + 1.7x = 5 + 1.2x Solving -31 + 1.7x = 5 + 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. -31 + 1.7x + -1.2x = 5 + 1.2x + -1.2x Combine like terms: 1.7x + -1.2x = 0.5x -31 + 0.5x = 5 + 1.2x + -1.2x Combine like terms: 1.2x + -1.2x = 0.0 -31 + 0.5x = 5 + 0.0 -31 + 0.5x = 5 Add '31' to each side of the equation. -31 + 31 + 0.5x = 5 + 31 Combine like terms: -31 + 31 = 0 0 + 0.5x = 5 + 31 0.5x = 5 + 31 Combine like terms: 5 + 31 = 36 0.5x = 36 Divide each side by '0.5'. x = 72 Simplifying x = 72
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