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Simplifying 5(3x + 8) = 47 Reorder the terms: 5(8 + 3x) = 47 (8 * 5 + 3x * 5) = 47 (40 + 15x) = 47 Solving 40 + 15x = 47 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + -40 + 15x = 47 + -40 Combine like terms: 40 + -40 = 0 0 + 15x = 47 + -40 15x = 47 + -40 Combine like terms: 47 + -40 = 7 15x = 7 Divide each side by '15'. x = 0.4666666667 Simplifying x = 0.4666666667
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