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Simplifying 13x + -27 = 10x + 6 Reorder the terms: -27 + 13x = 10x + 6 Reorder the terms: -27 + 13x = 6 + 10x Solving -27 + 13x = 6 + 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. -27 + 13x + -10x = 6 + 10x + -10x Combine like terms: 13x + -10x = 3x -27 + 3x = 6 + 10x + -10x Combine like terms: 10x + -10x = 0 -27 + 3x = 6 + 0 -27 + 3x = 6 Add '27' to each side of the equation. -27 + 27 + 3x = 6 + 27 Combine like terms: -27 + 27 = 0 0 + 3x = 6 + 27 3x = 6 + 27 Combine like terms: 6 + 27 = 33 3x = 33 Divide each side by '3'. x = 11 Simplifying x = 11
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