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Simplifying 3x + -4 + 6x + 22 = 117 Reorder the terms: -4 + 22 + 3x + 6x = 117 Combine like terms: -4 + 22 = 18 18 + 3x + 6x = 117 Combine like terms: 3x + 6x = 9x 18 + 9x = 117 Solving 18 + 9x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 9x = 117 + -18 Combine like terms: 18 + -18 = 0 0 + 9x = 117 + -18 9x = 117 + -18 Combine like terms: 117 + -18 = 99 9x = 99 Divide each side by '9'. x = 11 Simplifying x = 11
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