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Simplifying 13x + 9 = 14x + 10 Reorder the terms: 9 + 13x = 14x + 10 Reorder the terms: 9 + 13x = 10 + 14x Solving 9 + 13x = 10 + 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 + 13x + -14x = 10 + 14x + -14x Combine like terms: 13x + -14x = -1x 9 + -1x = 10 + 14x + -14x Combine like terms: 14x + -14x = 0 9 + -1x = 10 + 0 9 + -1x = 10 Add '-9' to each side of the equation. 9 + -9 + -1x = 10 + -9 Combine like terms: 9 + -9 = 0 0 + -1x = 10 + -9 -1x = 10 + -9 Combine like terms: 10 + -9 = 1 -1x = 1 Divide each side by '-1'. x = -1 Simplifying x = -1
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