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Simplifying -6(x + 7) = -114 Reorder the terms: -6(7 + x) = -114 (7 * -6 + x * -6) = -114 (-42 + -6x) = -114 Solving -42 + -6x = -114 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '42' to each side of the equation. -42 + 42 + -6x = -114 + 42 Combine like terms: -42 + 42 = 0 0 + -6x = -114 + 42 -6x = -114 + 42 Combine like terms: -114 + 42 = -72 -6x = -72 Divide each side by '-6'. x = 12 Simplifying x = 12
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