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Simplifying -2(6x + -2) = -51 + -7x Reorder the terms: -2(-2 + 6x) = -51 + -7x (-2 * -2 + 6x * -2) = -51 + -7x (4 + -12x) = -51 + -7x Solving 4 + -12x = -51 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 4 + -12x + 7x = -51 + -7x + 7x Combine like terms: -12x + 7x = -5x 4 + -5x = -51 + -7x + 7x Combine like terms: -7x + 7x = 0 4 + -5x = -51 + 0 4 + -5x = -51 Add '-4' to each side of the equation. 4 + -4 + -5x = -51 + -4 Combine like terms: 4 + -4 = 0 0 + -5x = -51 + -4 -5x = -51 + -4 Combine like terms: -51 + -4 = -55 -5x = -55 Divide each side by '-5'. x = 11 Simplifying x = 11
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