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Simplifying 13x + 8 + -5 = 12x + -2 Reorder the terms: 8 + -5 + 13x = 12x + -2 Combine like terms: 8 + -5 = 3 3 + 13x = 12x + -2 Reorder the terms: 3 + 13x = -2 + 12x Solving 3 + 13x = -2 + 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. 3 + 13x + -12x = -2 + 12x + -12x Combine like terms: 13x + -12x = 1x 3 + 1x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 3 + 1x = -2 + 0 3 + 1x = -2 Add '-3' to each side of the equation. 3 + -3 + 1x = -2 + -3 Combine like terms: 3 + -3 = 0 0 + 1x = -2 + -3 1x = -2 + -3 Combine like terms: -2 + -3 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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