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Simplifying 47.1 = (3.14)(x * 2) Reorder the terms for easier multiplication: 47.1 = 3.14(2x) Remove parenthesis around (2x) 47.1 = 3.14 * 2x Multiply 3.14 * 2 47.1 = 6.28x Solving 47.1 = 6.28x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6.28x' to each side of the equation. 47.1 + -6.28x = 6.28x + -6.28x Combine like terms: 6.28x + -6.28x = 0.00 47.1 + -6.28x = 0.00 Add '-47.1' to each side of the equation. 47.1 + -47.1 + -6.28x = 0.00 + -47.1 Combine like terms: 47.1 + -47.1 = 0.0 0.0 + -6.28x = 0.00 + -47.1 -6.28x = 0.00 + -47.1 Combine like terms: 0.00 + -47.1 = -47.1 -6.28x = -47.1 Divide each side by '-6.28'. x = 7.5 Simplifying x = 7.5
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