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Simplifying 9x = 6(x + 47) Reorder the terms: 9x = 6(47 + x) 9x = (47 * 6 + x * 6) 9x = (282 + 6x) Solving 9x = 282 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 9x + -6x = 282 + 6x + -6x Combine like terms: 9x + -6x = 3x 3x = 282 + 6x + -6x Combine like terms: 6x + -6x = 0 3x = 282 + 0 3x = 282 Divide each side by '3'. x = 94 Simplifying x = 94
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