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Simplifying 6 = 47(2x + 14) Reorder the terms: 6 = 47(14 + 2x) 6 = (14 * 47 + 2x * 47) 6 = (658 + 94x) Solving 6 = 658 + 94x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-94x' to each side of the equation. 6 + -94x = 658 + 94x + -94x Combine like terms: 94x + -94x = 0 6 + -94x = 658 + 0 6 + -94x = 658 Add '-6' to each side of the equation. 6 + -6 + -94x = 658 + -6 Combine like terms: 6 + -6 = 0 0 + -94x = 658 + -6 -94x = 658 + -6 Combine like terms: 658 + -6 = 652 -94x = 652 Divide each side by '-94'. x = -6.936170213 Simplifying x = -6.936170213
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