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Simplifying -6(x + 7) + -43 = 2 + -51 Reorder the terms: -6(7 + x) + -43 = 2 + -51 (7 * -6 + x * -6) + -43 = 2 + -51 (-42 + -6x) + -43 = 2 + -51 Reorder the terms: -42 + -43 + -6x = 2 + -51 Combine like terms: -42 + -43 = -85 -85 + -6x = 2 + -51 Combine like terms: 2 + -51 = -49 -85 + -6x = -49 Solving -85 + -6x = -49 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '85' to each side of the equation. -85 + 85 + -6x = -49 + 85 Combine like terms: -85 + 85 = 0 0 + -6x = -49 + 85 -6x = -49 + 85 Combine like terms: -49 + 85 = 36 -6x = 36 Divide each side by '-6'. x = -6 Simplifying x = -6
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