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Simplifying 17(9 + -1x) + -5 = 52 (9 * 17 + -1x * 17) + -5 = 52 (153 + -17x) + -5 = 52 Reorder the terms: 153 + -5 + -17x = 52 Combine like terms: 153 + -5 = 148 148 + -17x = 52 Solving 148 + -17x = 52 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-148' to each side of the equation. 148 + -148 + -17x = 52 + -148 Combine like terms: 148 + -148 = 0 0 + -17x = 52 + -148 -17x = 52 + -148 Combine like terms: 52 + -148 = -96 -17x = -96 Divide each side by '-17'. x = 5.647058824 Simplifying x = 5.647058824
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