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Simplifying 3x = 1.5(x + 8 + 37) Reorder the terms: 3x = 1.5(8 + 37 + x) Combine like terms: 8 + 37 = 45 3x = 1.5(45 + x) 3x = (45 * 1.5 + x * 1.5) 3x = (67.5 + 1.5x) Solving 3x = 67.5 + 1.5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1.5x' to each side of the equation. 3x + -1.5x = 67.5 + 1.5x + -1.5x Combine like terms: 3x + -1.5x = 1.5x 1.5x = 67.5 + 1.5x + -1.5x Combine like terms: 1.5x + -1.5x = 0.0 1.5x = 67.5 + 0.0 1.5x = 67.5 Divide each side by '1.5'. x = 45 Simplifying x = 45
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