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Simplifying 10(12 + 10x) + 11(4 + -2x) = 398 (12 * 10 + 10x * 10) + 11(4 + -2x) = 398 (120 + 100x) + 11(4 + -2x) = 398 120 + 100x + (4 * 11 + -2x * 11) = 398 120 + 100x + (44 + -22x) = 398 Reorder the terms: 120 + 44 + 100x + -22x = 398 Combine like terms: 120 + 44 = 164 164 + 100x + -22x = 398 Combine like terms: 100x + -22x = 78x 164 + 78x = 398 Solving 164 + 78x = 398 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-164' to each side of the equation. 164 + -164 + 78x = 398 + -164 Combine like terms: 164 + -164 = 0 0 + 78x = 398 + -164 78x = 398 + -164 Combine like terms: 398 + -164 = 234 78x = 234 Divide each side by '78'. x = 3 Simplifying x = 3
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