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Simplifying 3.3x + 46 = 4.5x + 16 Reorder the terms: 46 + 3.3x = 4.5x + 16 Reorder the terms: 46 + 3.3x = 16 + 4.5x Solving 46 + 3.3x = 16 + 4.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.5x' to each side of the equation. 46 + 3.3x + -4.5x = 16 + 4.5x + -4.5x Combine like terms: 3.3x + -4.5x = -1.2x 46 + -1.2x = 16 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 46 + -1.2x = 16 + 0.0 46 + -1.2x = 16 Add '-46' to each side of the equation. 46 + -46 + -1.2x = 16 + -46 Combine like terms: 46 + -46 = 0 0 + -1.2x = 16 + -46 -1.2x = 16 + -46 Combine like terms: 16 + -46 = -30 -1.2x = -30 Divide each side by '-1.2'. x = 25 Simplifying x = 25
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