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Simplifying 10(38 + -1(7x + 5x)) + (7x + 5x) = 176 Combine like terms: 7x + 5x = 12x 10(38 + -1(12x)) + (7x + 5x) = 176 Remove parenthesis around (12x) 10(38 + -1 * 12x) + (7x + 5x) = 176 Multiply -1 * 12 10(38 + -12x) + (7x + 5x) = 176 (38 * 10 + -12x * 10) + (7x + 5x) = 176 (380 + -120x) + (7x + 5x) = 176 Combine like terms: 7x + 5x = 12x 380 + -120x + (12x) = 176 380 + -120x + (12x) = 176 Combine like terms: -120x + (12x) = -108x 380 + -108x = 176 Solving 380 + -108x = 176 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-380' to each side of the equation. 380 + -380 + -108x = 176 + -380 Combine like terms: 380 + -380 = 0 0 + -108x = 176 + -380 -108x = 176 + -380 Combine like terms: 176 + -380 = -204 -108x = -204 Divide each side by '-108'. x = 1.888888889 Simplifying x = 1.888888889
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