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Simplifying 12x + -2 = 13x + -5 Reorder the terms: -2 + 12x = 13x + -5 Reorder the terms: -2 + 12x = -5 + 13x Solving -2 + 12x = -5 + 13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-13x' to each side of the equation. -2 + 12x + -13x = -5 + 13x + -13x Combine like terms: 12x + -13x = -1x -2 + -1x = -5 + 13x + -13x Combine like terms: 13x + -13x = 0 -2 + -1x = -5 + 0 -2 + -1x = -5 Add '2' to each side of the equation. -2 + 2 + -1x = -5 + 2 Combine like terms: -2 + 2 = 0 0 + -1x = -5 + 2 -1x = -5 + 2 Combine like terms: -5 + 2 = -3 -1x = -3 Divide each side by '-1'. x = 3 Simplifying x = 3
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