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Simplifying 5x + 7 = 117 + -6x Reorder the terms: 7 + 5x = 117 + -6x Solving 7 + 5x = 117 + -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. 7 + 5x + 6x = 117 + -6x + 6x Combine like terms: 5x + 6x = 11x 7 + 11x = 117 + -6x + 6x Combine like terms: -6x + 6x = 0 7 + 11x = 117 + 0 7 + 11x = 117 Add '-7' to each side of the equation. 7 + -7 + 11x = 117 + -7 Combine like terms: 7 + -7 = 0 0 + 11x = 117 + -7 11x = 117 + -7 Combine like terms: 117 + -7 = 110 11x = 110 Divide each side by '11'. x = 10 Simplifying x = 10
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