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Simplifying -51 = -7x + -3(-6x + -27) Reorder the terms: -51 = -7x + -3(-27 + -6x) -51 = -7x + (-27 * -3 + -6x * -3) -51 = -7x + (81 + 18x) Reorder the terms: -51 = 81 + -7x + 18x Combine like terms: -7x + 18x = 11x -51 = 81 + 11x Solving -51 = 81 + 11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-11x' to each side of the equation. -51 + -11x = 81 + 11x + -11x Combine like terms: 11x + -11x = 0 -51 + -11x = 81 + 0 -51 + -11x = 81 Add '51' to each side of the equation. -51 + 51 + -11x = 81 + 51 Combine like terms: -51 + 51 = 0 0 + -11x = 81 + 51 -11x = 81 + 51 Combine like terms: 81 + 51 = 132 -11x = 132 Divide each side by '-11'. x = -12 Simplifying x = -12
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