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Simplifying 13 + 2x = 20 + 1.50x Solving 13 + 2x = 20 + 1.50x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.50x' to each side of the equation. 13 + 2x + -1.50x = 20 + 1.50x + -1.50x Combine like terms: 2x + -1.50x = 0.5x 13 + 0.5x = 20 + 1.50x + -1.50x Combine like terms: 1.50x + -1.50x = 0.00 13 + 0.5x = 20 + 0.00 13 + 0.5x = 20 Add '-13' to each side of the equation. 13 + -13 + 0.5x = 20 + -13 Combine like terms: 13 + -13 = 0 0 + 0.5x = 20 + -13 0.5x = 20 + -13 Combine like terms: 20 + -13 = 7 0.5x = 7 Divide each side by '0.5'. x = 14 Simplifying x = 14
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