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Simplifying x + 7 = -6 + -12x Reorder the terms: 7 + x = -6 + -12x Solving 7 + x = -6 + -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. 7 + x + 12x = -6 + -12x + 12x Combine like terms: x + 12x = 13x 7 + 13x = -6 + -12x + 12x Combine like terms: -12x + 12x = 0 7 + 13x = -6 + 0 7 + 13x = -6 Add '-7' to each side of the equation. 7 + -7 + 13x = -6 + -7 Combine like terms: 7 + -7 = 0 0 + 13x = -6 + -7 13x = -6 + -7 Combine like terms: -6 + -7 = -13 13x = -13 Divide each side by '13'. x = -1 Simplifying x = -1
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