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Simplifying 3.2x + -45 = 1.5x + 6 Reorder the terms: -45 + 3.2x = 1.5x + 6 Reorder the terms: -45 + 3.2x = 6 + 1.5x Solving -45 + 3.2x = 6 + 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. -45 + 3.2x + -1.5x = 6 + 1.5x + -1.5x Combine like terms: 3.2x + -1.5x = 1.7x -45 + 1.7x = 6 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 -45 + 1.7x = 6 + 0.0 -45 + 1.7x = 6 Add '45' to each side of the equation. -45 + 45 + 1.7x = 6 + 45 Combine like terms: -45 + 45 = 0 0 + 1.7x = 6 + 45 1.7x = 6 + 45 Combine like terms: 6 + 45 = 51 1.7x = 51 Divide each side by '1.7'. x = 30 Simplifying x = 30
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