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Simplifying 13x + 18 = 9x + 22 Reorder the terms: 18 + 13x = 9x + 22 Reorder the terms: 18 + 13x = 22 + 9x Solving 18 + 13x = 22 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 18 + 13x + -9x = 22 + 9x + -9x Combine like terms: 13x + -9x = 4x 18 + 4x = 22 + 9x + -9x Combine like terms: 9x + -9x = 0 18 + 4x = 22 + 0 18 + 4x = 22 Add '-18' to each side of the equation. 18 + -18 + 4x = 22 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 22 + -18 4x = 22 + -18 Combine like terms: 22 + -18 = 4 4x = 4 Divide each side by '4'. x = 1 Simplifying x = 1
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