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Simplifying 12x + -91 = -7x + -13 + 13x Reorder the terms: -91 + 12x = -7x + -13 + 13x Reorder the terms: -91 + 12x = -13 + -7x + 13x Combine like terms: -7x + 13x = 6x -91 + 12x = -13 + 6x Solving -91 + 12x = -13 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -91 + 12x + -6x = -13 + 6x + -6x Combine like terms: 12x + -6x = 6x -91 + 6x = -13 + 6x + -6x Combine like terms: 6x + -6x = 0 -91 + 6x = -13 + 0 -91 + 6x = -13 Add '91' to each side of the equation. -91 + 91 + 6x = -13 + 91 Combine like terms: -91 + 91 = 0 0 + 6x = -13 + 91 6x = -13 + 91 Combine like terms: -13 + 91 = 78 6x = 78 Divide each side by '6'. x = 13 Simplifying x = 13
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