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Simplifying 13x + 20 = 10x + 27 Reorder the terms: 20 + 13x = 10x + 27 Reorder the terms: 20 + 13x = 27 + 10x Solving 20 + 13x = 27 + 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. 20 + 13x + -10x = 27 + 10x + -10x Combine like terms: 13x + -10x = 3x 20 + 3x = 27 + 10x + -10x Combine like terms: 10x + -10x = 0 20 + 3x = 27 + 0 20 + 3x = 27 Add '-20' to each side of the equation. 20 + -20 + 3x = 27 + -20 Combine like terms: 20 + -20 = 0 0 + 3x = 27 + -20 3x = 27 + -20 Combine like terms: 27 + -20 = 7 3x = 7 Divide each side by '3'. x = 2.333333333 Simplifying x = 2.333333333
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