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Simplifying 12x + 2 = 13x + -7 Reorder the terms: 2 + 12x = 13x + -7 Reorder the terms: 2 + 12x = -7 + 13x Solving 2 + 12x = -7 + 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 = -7 + 13x + -13x Combine like terms: 12x + -13x = -1x 2 + -1x = -7 + 13x + -13x Combine like terms: 13x + -13x = 0 2 + -1x = -7 + 0 2 + -1x = -7 Add '-2' to each side of the equation. 2 + -2 + -1x = -7 + -2 Combine like terms: 2 + -2 = 0 0 + -1x = -7 + -2 -1x = -7 + -2 Combine like terms: -7 + -2 = -9 -1x = -9 Divide each side by '-1'. x = 9 Simplifying x = 9
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