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Simplifying -4x + 6(-3x + 16) = -102 Reorder the terms: -4x + 6(16 + -3x) = -102 -4x + (16 * 6 + -3x * 6) = -102 -4x + (96 + -18x) = -102 Reorder the terms: 96 + -4x + -18x = -102 Combine like terms: -4x + -18x = -22x 96 + -22x = -102 Solving 96 + -22x = -102 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-96' to each side of the equation. 96 + -96 + -22x = -102 + -96 Combine like terms: 96 + -96 = 0 0 + -22x = -102 + -96 -22x = -102 + -96 Combine like terms: -102 + -96 = -198 -22x = -198 Divide each side by '-22'. x = 9 Simplifying x = 9
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