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Simplifying 30 + 1x = 45 + 0.50x Solving 30 + 1x = 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. 30 + 1x + -0.50x = 45 + 0.50x + -0.50x Combine like terms: 1x + -0.50x = 0.5x 30 + 0.5x = 45 + 0.50x + -0.50x Combine like terms: 0.50x + -0.50x = 0.00 30 + 0.5x = 45 + 0.00 30 + 0.5x = 45 Add '-30' to each side of the equation. 30 + -30 + 0.5x = 45 + -30 Combine like terms: 30 + -30 = 0 0 + 0.5x = 45 + -30 0.5x = 45 + -30 Combine like terms: 45 + -30 = 15 0.5x = 15 Divide each side by '0.5'. x = 30 Simplifying x = 30
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