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Simplifying 5x + 13 = 71 + -9x Reorder the terms: 13 + 5x = 71 + -9x Solving 13 + 5x = 71 + -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. 13 + 5x + 9x = 71 + -9x + 9x Combine like terms: 5x + 9x = 14x 13 + 14x = 71 + -9x + 9x Combine like terms: -9x + 9x = 0 13 + 14x = 71 + 0 13 + 14x = 71 Add '-13' to each side of the equation. 13 + -13 + 14x = 71 + -13 Combine like terms: 13 + -13 = 0 0 + 14x = 71 + -13 14x = 71 + -13 Combine like terms: 71 + -13 = 58 14x = 58 Divide each side by '14'. x = 4.142857143 Simplifying x = 4.142857143
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