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Simplifying 1.5x + 1.5(x + 18) = 177 Reorder the terms: 1.5x + 1.5(18 + x) = 177 1.5x + (18 * 1.5 + x * 1.5) = 177 1.5x + (27 + 1.5x) = 177 Reorder the terms: 27 + 1.5x + 1.5x = 177 Combine like terms: 1.5x + 1.5x = 3x 27 + 3x = 177 Solving 27 + 3x = 177 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + -27 + 3x = 177 + -27 Combine like terms: 27 + -27 = 0 0 + 3x = 177 + -27 3x = 177 + -27 Combine like terms: 177 + -27 = 150 3x = 150 Divide each side by '3'. x = 50 Simplifying x = 50
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