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Simplifying 13x + -14 = 10x + 13 Reorder the terms: -14 + 13x = 10x + 13 Reorder the terms: -14 + 13x = 13 + 10x Solving -14 + 13x = 13 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -14 + 13x + -10x = 13 + 10x + -10x Combine like terms: 13x + -10x = 3x -14 + 3x = 13 + 10x + -10x Combine like terms: 10x + -10x = 0 -14 + 3x = 13 + 0 -14 + 3x = 13 Add '14' to each side of the equation. -14 + 14 + 3x = 13 + 14 Combine like terms: -14 + 14 = 0 0 + 3x = 13 + 14 3x = 13 + 14 Combine like terms: 13 + 14 = 27 3x = 27 Divide each side by '3'. x = 9 Simplifying x = 9
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