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Simplifying 5x + 3.50 = 4.50(x + 50) Reorder the terms: 3.50 + 5x = 4.50(x + 50) Reorder the terms: 3.50 + 5x = 4.50(50 + x) 3.50 + 5x = (50 * 4.50 + x * 4.50) 3.50 + 5x = (225 + 4.50x) Solving 3.50 + 5x = 225 + 4.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4.50x' to each side of the equation. 3.50 + 5x + -4.50x = 225 + 4.50x + -4.50x Combine like terms: 5x + -4.50x = 0.5x 3.50 + 0.5x = 225 + 4.50x + -4.50x Combine like terms: 4.50x + -4.50x = 0.00 3.50 + 0.5x = 225 + 0.00 3.50 + 0.5x = 225 Add '-3.50' to each side of the equation. 3.50 + -3.50 + 0.5x = 225 + -3.50 Combine like terms: 3.50 + -3.50 = 0.00 0.00 + 0.5x = 225 + -3.50 0.5x = 225 + -3.50 Combine like terms: 225 + -3.50 = 221.5 0.5x = 221.5 Divide each side by '0.5'. x = 443 Simplifying x = 443
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