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Simplifying 37 + 2.5x = 45 + 0.50x Solving 37 + 2.5x = 45 + 0.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-0.50x' to each side of the equation. 37 + 2.5x + -0.50x = 45 + 0.50x + -0.50x Combine like terms: 2.5x + -0.50x = 2x 37 + 2x = 45 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 37 + 2x = 45 + 0.00 37 + 2x = 45 Add '-37' to each side of the equation. 37 + -37 + 2x = 45 + -37 Combine like terms: 37 + -37 = 0 0 + 2x = 45 + -37 2x = 45 + -37 Combine like terms: 45 + -37 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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