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Simplifying 1.5(18 + x) = 37 + x (18 * 1.5 + x * 1.5) = 37 + x (27 + 1.5x) = 37 + x Solving 27 + 1.5x = 37 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. 27 + 1.5x + -1x = 37 + x + -1x Combine like terms: 1.5x + -1x = 0.5x 27 + 0.5x = 37 + x + -1x Combine like terms: x + -1x = 0 27 + 0.5x = 37 + 0 27 + 0.5x = 37 Add '-27' to each side of the equation. 27 + -27 + 0.5x = 37 + -27 Combine like terms: 27 + -27 = 0 0 + 0.5x = 37 + -27 0.5x = 37 + -27 Combine like terms: 37 + -27 = 10 0.5x = 10 Divide each side by '0.5'. x = 20 Simplifying x = 20
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