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Simplifying 13x + -2 = 10x + 1 Reorder the terms: -2 + 13x = 10x + 1 Reorder the terms: -2 + 13x = 1 + 10x Solving -2 + 13x = 1 + 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 = 1 + 10x + -10x Combine like terms: 13x + -10x = 3x -2 + 3x = 1 + 10x + -10x Combine like terms: 10x + -10x = 0 -2 + 3x = 1 + 0 -2 + 3x = 1 Add '2' to each side of the equation. -2 + 2 + 3x = 1 + 2 Combine like terms: -2 + 2 = 0 0 + 3x = 1 + 2 3x = 1 + 2 Combine like terms: 1 + 2 = 3 3x = 3 Divide each side by '3'. x = 1 Simplifying x = 1
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