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Simplifying 109 + -5x = 13x + 23 Reorder the terms: 109 + -5x = 23 + 13x Solving 109 + -5x = 23 + 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. 109 + -5x + -13x = 23 + 13x + -13x Combine like terms: -5x + -13x = -18x 109 + -18x = 23 + 13x + -13x Combine like terms: 13x + -13x = 0 109 + -18x = 23 + 0 109 + -18x = 23 Add '-109' to each side of the equation. 109 + -109 + -18x = 23 + -109 Combine like terms: 109 + -109 = 0 0 + -18x = 23 + -109 -18x = 23 + -109 Combine like terms: 23 + -109 = -86 -18x = -86 Divide each side by '-18'. x = 4.777777778 Simplifying x = 4.777777778
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