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Simplifying 6x + 13 = 43 + -8x Reorder the terms: 13 + 6x = 43 + -8x Solving 13 + 6x = 43 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 13 + 6x + 8x = 43 + -8x + 8x Combine like terms: 6x + 8x = 14x 13 + 14x = 43 + -8x + 8x Combine like terms: -8x + 8x = 0 13 + 14x = 43 + 0 13 + 14x = 43 Add '-13' to each side of the equation. 13 + -13 + 14x = 43 + -13 Combine like terms: 13 + -13 = 0 0 + 14x = 43 + -13 14x = 43 + -13 Combine like terms: 43 + -13 = 30 14x = 30 Divide each side by '14'. x = 2.142857143 Simplifying x = 2.142857143
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