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Simplifying 13x + 7 + -5 = 12x + -2 Reorder the terms: 7 + -5 + 13x = 12x + -2 Combine like terms: 7 + -5 = 2 2 + 13x = 12x + -2 Reorder the terms: 2 + 13x = -2 + 12x Solving 2 + 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. 2 + 13x + -12x = -2 + 12x + -12x Combine like terms: 13x + -12x = 1x 2 + 1x = -2 + 12x + -12x Combine like terms: 12x + -12x = 0 2 + 1x = -2 + 0 2 + 1x = -2 Add '-2' to each side of the equation. 2 + -2 + 1x = -2 + -2 Combine like terms: 2 + -2 = 0 0 + 1x = -2 + -2 1x = -2 + -2 Combine like terms: -2 + -2 = -4 1x = -4 Divide each side by '1'. x = -4 Simplifying x = -4
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