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Simplifying 113 + -5x = 13x + 7 Reorder the terms: 113 + -5x = 7 + 13x Solving 113 + -5x = 7 + 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. 113 + -5x + -13x = 7 + 13x + -13x Combine like terms: -5x + -13x = -18x 113 + -18x = 7 + 13x + -13x Combine like terms: 13x + -13x = 0 113 + -18x = 7 + 0 113 + -18x = 7 Add '-113' to each side of the equation. 113 + -113 + -18x = 7 + -113 Combine like terms: 113 + -113 = 0 0 + -18x = 7 + -113 -18x = 7 + -113 Combine like terms: 7 + -113 = -106 -18x = -106 Divide each side by '-18'. x = 5.888888889 Simplifying x = 5.888888889
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