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