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Simplifying -2x + -7(-5x + -9) = -102 Reorder the terms: -2x + -7(-9 + -5x) = -102 -2x + (-9 * -7 + -5x * -7) = -102 -2x + (63 + 35x) = -102 Reorder the terms: 63 + -2x + 35x = -102 Combine like terms: -2x + 35x = 33x 63 + 33x = -102 Solving 63 + 33x = -102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-63' to each side of the equation. 63 + -63 + 33x = -102 + -63 Combine like terms: 63 + -63 = 0 0 + 33x = -102 + -63 33x = -102 + -63 Combine like terms: -102 + -63 = -165 33x = -165 Divide each side by '33'. x = -5 Simplifying x = -5
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