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Simplifying 9x + -1(4x + -17) = 52 Reorder the terms: 9x + -1(-17 + 4x) = 52 9x + (-17 * -1 + 4x * -1) = 52 9x + (17 + -4x) = 52 Reorder the terms: 17 + 9x + -4x = 52 Combine like terms: 9x + -4x = 5x 17 + 5x = 52 Solving 17 + 5x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-17' to each side of the equation. 17 + -17 + 5x = 52 + -17 Combine like terms: 17 + -17 = 0 0 + 5x = 52 + -17 5x = 52 + -17 Combine like terms: 52 + -17 = 35 5x = 35 Divide each side by '5'. x = 7 Simplifying x = 7
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