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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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