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Simplifying -6 = -6x + 6(2x + -13) Reorder the terms: -6 = -6x + 6(-13 + 2x) -6 = -6x + (-13 * 6 + 2x * 6) -6 = -6x + (-78 + 12x) Reorder the terms: -6 = -78 + -6x + 12x Combine like terms: -6x + 12x = 6x -6 = -78 + 6x Solving -6 = -78 + 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. -6 + -6x = -78 + 6x + -6x Combine like terms: 6x + -6x = 0 -6 + -6x = -78 + 0 -6 + -6x = -78 Add '6' to each side of the equation. -6 + 6 + -6x = -78 + 6 Combine like terms: -6 + 6 = 0 0 + -6x = -78 + 6 -6x = -78 + 6 Combine like terms: -78 + 6 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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