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Simplifying -6(2 + 3x) + 7x = -89 (2 * -6 + 3x * -6) + 7x = -89 (-12 + -18x) + 7x = -89 Combine like terms: -18x + 7x = -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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