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Simplifying -1(6 + 7x) + -5x = -102 (6 * -1 + 7x * -1) + -5x = -102 (-6 + -7x) + -5x = -102 Combine like terms: -7x + -5x = -12x -6 + -12x = -102 Solving -6 + -12x = -102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6' to each side of the equation. -6 + 6 + -12x = -102 + 6 Combine like terms: -6 + 6 = 0 0 + -12x = -102 + 6 -12x = -102 + 6 Combine like terms: -102 + 6 = -96 -12x = -96 Divide each side by '-12'. x = 8 Simplifying x = 8
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