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Simplifying 13x + 2 = 10x + 8 Reorder the terms: 2 + 13x = 10x + 8 Reorder the terms: 2 + 13x = 8 + 10x Solving 2 + 13x = 8 + 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 = 8 + 10x + -10x Combine like terms: 13x + -10x = 3x 2 + 3x = 8 + 10x + -10x Combine like terms: 10x + -10x = 0 2 + 3x = 8 + 0 2 + 3x = 8 Add '-2' to each side of the equation. 2 + -2 + 3x = 8 + -2 Combine like terms: 2 + -2 = 0 0 + 3x = 8 + -2 3x = 8 + -2 Combine like terms: 8 + -2 = 6 3x = 6 Divide each side by '3'. x = 2 Simplifying x = 2
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