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Simplifying 17(33 + -5x) + -7x = -165 + 29x (33 * 17 + -5x * 17) + -7x = -165 + 29x (561 + -85x) + -7x = -165 + 29x Combine like terms: -85x + -7x = -92x 561 + -92x = -165 + 29x Solving 561 + -92x = -165 + 29x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-29x' to each side of the equation. 561 + -92x + -29x = -165 + 29x + -29x Combine like terms: -92x + -29x = -121x 561 + -121x = -165 + 29x + -29x Combine like terms: 29x + -29x = 0 561 + -121x = -165 + 0 561 + -121x = -165 Add '-561' to each side of the equation. 561 + -561 + -121x = -165 + -561 Combine like terms: 561 + -561 = 0 0 + -121x = -165 + -561 -121x = -165 + -561 Combine like terms: -165 + -561 = -726 -121x = -726 Divide each side by '-121'. x = 6 Simplifying x = 6
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