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Simplifying -4x + 2(-4x + -9) = -102 Reorder the terms: -4x + 2(-9 + -4x) = -102 -4x + (-9 * 2 + -4x * 2) = -102 -4x + (-18 + -8x) = -102 Reorder the terms: -18 + -4x + -8x = -102 Combine like terms: -4x + -8x = -12x -18 + -12x = -102 Solving -18 + -12x = -102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '18' to each side of the equation. -18 + 18 + -12x = -102 + 18 Combine like terms: -18 + 18 = 0 0 + -12x = -102 + 18 -12x = -102 + 18 Combine like terms: -102 + 18 = -84 -12x = -84 Divide each side by '-12'. x = 7 Simplifying x = 7
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