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Simplifying 3x + 1(26 + -1.5x) = 38 3x + (26 * 1 + -1.5x * 1) = 38 3x + (26 + -1.5x) = 38 Reorder the terms: 26 + 3x + -1.5x = 38 Combine like terms: 3x + -1.5x = 1.5x 26 + 1.5x = 38 Solving 26 + 1.5x = 38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-26' to each side of the equation. 26 + -26 + 1.5x = 38 + -26 Combine like terms: 26 + -26 = 0 0 + 1.5x = 38 + -26 1.5x = 38 + -26 Combine like terms: 38 + -26 = 12 1.5x = 12 Divide each side by '1.5'. x = 8 Simplifying x = 8
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