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Simplifying 13x + 9 + 7x = 18x + 19 Reorder the terms: 9 + 13x + 7x = 18x + 19 Combine like terms: 13x + 7x = 20x 9 + 20x = 18x + 19 Reorder the terms: 9 + 20x = 19 + 18x Solving 9 + 20x = 19 + 18x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18x' to each side of the equation. 9 + 20x + -18x = 19 + 18x + -18x Combine like terms: 20x + -18x = 2x 9 + 2x = 19 + 18x + -18x Combine like terms: 18x + -18x = 0 9 + 2x = 19 + 0 9 + 2x = 19 Add '-9' to each side of the equation. 9 + -9 + 2x = 19 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = 19 + -9 2x = 19 + -9 Combine like terms: 19 + -9 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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