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Simplifying -6(3x + 6) + 7x = -102 Reorder the terms: -6(6 + 3x) + 7x = -102 (6 * -6 + 3x * -6) + 7x = -102 (-36 + -18x) + 7x = -102 Combine like terms: -18x + 7x = -11x -36 + -11x = -102 Solving -36 + -11x = -102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '36' to each side of the equation. -36 + 36 + -11x = -102 + 36 Combine like terms: -36 + 36 = 0 0 + -11x = -102 + 36 -11x = -102 + 36 Combine like terms: -102 + 36 = -66 -11x = -66 Divide each side by '-11'. x = 6 Simplifying x = 6
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