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Simplifying 5x + 6 = 36 + -9x Reorder the terms: 6 + 5x = 36 + -9x Solving 6 + 5x = 36 + -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. 6 + 5x + 9x = 36 + -9x + 9x Combine like terms: 5x + 9x = 14x 6 + 14x = 36 + -9x + 9x Combine like terms: -9x + 9x = 0 6 + 14x = 36 + 0 6 + 14x = 36 Add '-6' to each side of the equation. 6 + -6 + 14x = 36 + -6 Combine like terms: 6 + -6 = 0 0 + 14x = 36 + -6 14x = 36 + -6 Combine like terms: 36 + -6 = 30 14x = 30 Divide each side by '14'. x = 2.142857143 Simplifying x = 2.142857143
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