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Simplifying 19x + -1(6x + -9) = 74 Reorder the terms: 19x + -1(-9 + 6x) = 74 19x + (-9 * -1 + 6x * -1) = 74 19x + (9 + -6x) = 74 Reorder the terms: 9 + 19x + -6x = 74 Combine like terms: 19x + -6x = 13x 9 + 13x = 74 Solving 9 + 13x = 74 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 13x = 74 + -9 Combine like terms: 9 + -9 = 0 0 + 13x = 74 + -9 13x = 74 + -9 Combine like terms: 74 + -9 = 65 13x = 65 Divide each side by '13'. x = 5 Simplifying x = 5
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