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Simplifying 102 + -5x = 13x + 20 Reorder the terms: 102 + -5x = 20 + 13x Solving 102 + -5x = 20 + 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. 102 + -5x + -13x = 20 + 13x + -13x Combine like terms: -5x + -13x = -18x 102 + -18x = 20 + 13x + -13x Combine like terms: 13x + -13x = 0 102 + -18x = 20 + 0 102 + -18x = 20 Add '-102' to each side of the equation. 102 + -102 + -18x = 20 + -102 Combine like terms: 102 + -102 = 0 0 + -18x = 20 + -102 -18x = 20 + -102 Combine like terms: 20 + -102 = -82 -18x = -82 Divide each side by '-18'. x = 4.555555556 Simplifying x = 4.555555556
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