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Simplifying 3x + 2(-7x + -6) = -89 Reorder the terms: 3x + 2(-6 + -7x) = -89 3x + (-6 * 2 + -7x * 2) = -89 3x + (-12 + -14x) = -89 Reorder the terms: -12 + 3x + -14x = -89 Combine like terms: 3x + -14x = -11x -12 + -11x = -89 Solving -12 + -11x = -89 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + -11x = -89 + 12 Combine like terms: -12 + 12 = 0 0 + -11x = -89 + 12 -11x = -89 + 12 Combine like terms: -89 + 12 = -77 -11x = -77 Divide each side by '-11'. x = 7 Simplifying x = 7
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