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Simplifying 8x + 9 = 14x + 13 Reorder the terms: 9 + 8x = 14x + 13 Reorder the terms: 9 + 8x = 13 + 14x Solving 9 + 8x = 13 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 9 + 8x + -14x = 13 + 14x + -14x Combine like terms: 8x + -14x = -6x 9 + -6x = 13 + 14x + -14x Combine like terms: 14x + -14x = 0 9 + -6x = 13 + 0 9 + -6x = 13 Add '-9' to each side of the equation. 9 + -9 + -6x = 13 + -9 Combine like terms: 9 + -9 = 0 0 + -6x = 13 + -9 -6x = 13 + -9 Combine like terms: 13 + -9 = 4 -6x = 4 Divide each side by '-6'. x = -0.6666666667 Simplifying x = -0.6666666667
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