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Simplifying -51 = -3x + 2(-3x + -3) Reorder the terms: -51 = -3x + 2(-3 + -3x) -51 = -3x + (-3 * 2 + -3x * 2) -51 = -3x + (-6 + -6x) Reorder the terms: -51 = -6 + -3x + -6x Combine like terms: -3x + -6x = -9x -51 = -6 + -9x Solving -51 = -6 + -9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9x' to each side of the equation. -51 + 9x = -6 + -9x + 9x Combine like terms: -9x + 9x = 0 -51 + 9x = -6 + 0 -51 + 9x = -6 Add '51' to each side of the equation. -51 + 51 + 9x = -6 + 51 Combine like terms: -51 + 51 = 0 0 + 9x = -6 + 51 9x = -6 + 51 Combine like terms: -6 + 51 = 45 9x = 45 Divide each side by '9'. x = 5 Simplifying x = 5
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