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Simplifying 10x + 4 + -5x + 7 = 117 Reorder the terms: 4 + 7 + 10x + -5x = 117 Combine like terms: 4 + 7 = 11 11 + 10x + -5x = 117 Combine like terms: 10x + -5x = 5x 11 + 5x = 117 Solving 11 + 5x = 117 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11' to each side of the equation. 11 + -11 + 5x = 117 + -11 Combine like terms: 11 + -11 = 0 0 + 5x = 117 + -11 5x = 117 + -11 Combine like terms: 117 + -11 = 106 5x = 106 Divide each side by '5'. x = 21.2 Simplifying x = 21.2
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