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Simplifying 117 + -5x = 13x + 17 Reorder the terms: 117 + -5x = 17 + 13x Solving 117 + -5x = 17 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. 117 + -5x + -13x = 17 + 13x + -13x Combine like terms: -5x + -13x = -18x 117 + -18x = 17 + 13x + -13x Combine like terms: 13x + -13x = 0 117 + -18x = 17 + 0 117 + -18x = 17 Add '-117' to each side of the equation. 117 + -117 + -18x = 17 + -117 Combine like terms: 117 + -117 = 0 0 + -18x = 17 + -117 -18x = 17 + -117 Combine like terms: 17 + -117 = -100 -18x = -100 Divide each side by '-18'. x = 5.555555556 Simplifying x = 5.555555556
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