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Simplifying 12x + 7 = 13x + -7 Reorder the terms: 7 + 12x = 13x + -7 Reorder the terms: 7 + 12x = -7 + 13x Solving 7 + 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. 7 + 12x + -13x = -7 + 13x + -13x Combine like terms: 12x + -13x = -1x 7 + -1x = -7 + 13x + -13x Combine like terms: 13x + -13x = 0 7 + -1x = -7 + 0 7 + -1x = -7 Add '-7' to each side of the equation. 7 + -7 + -1x = -7 + -7 Combine like terms: 7 + -7 = 0 0 + -1x = -7 + -7 -1x = -7 + -7 Combine like terms: -7 + -7 = -14 -1x = -14 Divide each side by '-1'. x = 14 Simplifying x = 14
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