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Simplifying 10x + 3 = 4.5x + 5 Reorder the terms: 3 + 10x = 4.5x + 5 Reorder the terms: 3 + 10x = 5 + 4.5x Solving 3 + 10x = 5 + 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. 3 + 10x + -4.5x = 5 + 4.5x + -4.5x Combine like terms: 10x + -4.5x = 5.5x 3 + 5.5x = 5 + 4.5x + -4.5x Combine like terms: 4.5x + -4.5x = 0.0 3 + 5.5x = 5 + 0.0 3 + 5.5x = 5 Add '-3' to each side of the equation. 3 + -3 + 5.5x = 5 + -3 Combine like terms: 3 + -3 = 0 0 + 5.5x = 5 + -3 5.5x = 5 + -3 Combine like terms: 5 + -3 = 2 5.5x = 2 Divide each side by '5.5'. x = 0.3636363636 Simplifying x = 0.3636363636
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