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Simplifying 12x = x + -1(6 + -13x) 12x = x + (6 * -1 + -13x * -1) 12x = x + (-6 + 13x) Reorder the terms: 12x = -6 + x + 13x Combine like terms: x + 13x = 14x 12x = -6 + 14x Solving 12x = -6 + 14x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14x' to each side of the equation. 12x + -14x = -6 + 14x + -14x Combine like terms: 12x + -14x = -2x -2x = -6 + 14x + -14x Combine like terms: 14x + -14x = 0 -2x = -6 + 0 -2x = -6 Divide each side by '-2'. x = 3 Simplifying x = 3
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