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Simplifying 13x + -5 = 12x + 5 Reorder the terms: -5 + 13x = 12x + 5 Reorder the terms: -5 + 13x = 5 + 12x Solving -5 + 13x = 5 + 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. -5 + 13x + -12x = 5 + 12x + -12x Combine like terms: 13x + -12x = 1x -5 + 1x = 5 + 12x + -12x Combine like terms: 12x + -12x = 0 -5 + 1x = 5 + 0 -5 + 1x = 5 Add '5' to each side of the equation. -5 + 5 + 1x = 5 + 5 Combine like terms: -5 + 5 = 0 0 + 1x = 5 + 5 1x = 5 + 5 Combine like terms: 5 + 5 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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