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Simplifying 9x + 6 = 18 + -5x + 20 Reorder the terms: 6 + 9x = 18 + -5x + 20 Reorder the terms: 6 + 9x = 18 + 20 + -5x Combine like terms: 18 + 20 = 38 6 + 9x = 38 + -5x Solving 6 + 9x = 38 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 6 + 9x + 5x = 38 + -5x + 5x Combine like terms: 9x + 5x = 14x 6 + 14x = 38 + -5x + 5x Combine like terms: -5x + 5x = 0 6 + 14x = 38 + 0 6 + 14x = 38 Add '-6' to each side of the equation. 6 + -6 + 14x = 38 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 38 + -6 14x = 38 + -6 Combine like terms: 38 + -6 = 32 14x = 32 Divide each side by '14'. x = 2.285714286 Simplifying x = 2.285714286
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