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Simplifying 13x + 2 = 10x + 23 Reorder the terms: 2 + 13x = 10x + 23 Reorder the terms: 2 + 13x = 23 + 10x Solving 2 + 13x = 23 + 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. 2 + 13x + -10x = 23 + 10x + -10x Combine like terms: 13x + -10x = 3x 2 + 3x = 23 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + 3x = 23 + 0 2 + 3x = 23 Add '-2' to each side of the equation. 2 + -2 + 3x = 23 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 23 + -2 3x = 23 + -2 Combine like terms: 23 + -2 = 21 3x = 21 Divide each side by '3'. x = 7 Simplifying x = 7
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