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Simplifying 38(-2x + 14) = 12(-33 + -16x) Reorder the terms: 38(14 + -2x) = 12(-33 + -16x) (14 * 38 + -2x * 38) = 12(-33 + -16x) (532 + -76x) = 12(-33 + -16x) 532 + -76x = (-33 * 12 + -16x * 12) 532 + -76x = (-396 + -192x) Solving 532 + -76x = -396 + -192x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '192x' to each side of the equation. 532 + -76x + 192x = -396 + -192x + 192x Combine like terms: -76x + 192x = 116x 532 + 116x = -396 + -192x + 192x Combine like terms: -192x + 192x = 0 532 + 116x = -396 + 0 532 + 116x = -396 Add '-532' to each side of the equation. 532 + -532 + 116x = -396 + -532 Combine like terms: 532 + -532 = 0 0 + 116x = -396 + -532 116x = -396 + -532 Combine like terms: -396 + -532 = -928 116x = -928 Divide each side by '116'. x = -8 Simplifying x = -8
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