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Simplifying -2x + 117 = 7x Reorder the terms: 117 + -2x = 7x Solving 117 + -2x = 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. 117 + -2x + -7x = 7x + -7x Combine like terms: -2x + -7x = -9x 117 + -9x = 7x + -7x Combine like terms: 7x + -7x = 0 117 + -9x = 0 Add '-117' to each side of the equation. 117 + -117 + -9x = 0 + -117 Combine like terms: 117 + -117 = 0 0 + -9x = 0 + -117 -9x = 0 + -117 Combine like terms: 0 + -117 = -117 -9x = -117 Divide each side by '-9'. x = 13 Simplifying x = 13
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