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Simplifying 101 + -5x = 13x + 23 Reorder the terms: 101 + -5x = 23 + 13x Solving 101 + -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. 101 + -5x + -13x = 23 + 13x + -13x Combine like terms: -5x + -13x = -18x 101 + -18x = 23 + 13x + -13x Combine like terms: 13x + -13x = 0 101 + -18x = 23 + 0 101 + -18x = 23 Add '-101' to each side of the equation. 101 + -101 + -18x = 23 + -101 Combine like terms: 101 + -101 = 0 0 + -18x = 23 + -101 -18x = 23 + -101 Combine like terms: 23 + -101 = -78 -18x = -78 Divide each side by '-18'. x = 4.333333333 Simplifying x = 4.333333333
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