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Simplifying (9x + 10) + -1(3x + 2) = 74 Reorder the terms: (10 + 9x) + -1(3x + 2) = 74 Remove parenthesis around (10 + 9x) 10 + 9x + -1(3x + 2) = 74 Reorder the terms: 10 + 9x + -1(2 + 3x) = 74 10 + 9x + (2 * -1 + 3x * -1) = 74 10 + 9x + (-2 + -3x) = 74 Reorder the terms: 10 + -2 + 9x + -3x = 74 Combine like terms: 10 + -2 = 8 8 + 9x + -3x = 74 Combine like terms: 9x + -3x = 6x 8 + 6x = 74 Solving 8 + 6x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -8 + 6x = 74 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 74 + -8 6x = 74 + -8 Combine like terms: 74 + -8 = 66 6x = 66 Divide each side by '6'. x = 11 Simplifying x = 11
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