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Simplifying -987x + -564 + 55x + -123 + 78 = -967x + 258 + -25x + 478 + 255 Reorder the terms: -564 + -123 + 78 + -987x + 55x = -967x + 258 + -25x + 478 + 255 Combine like terms: -564 + -123 = -687 -687 + 78 + -987x + 55x = -967x + 258 + -25x + 478 + 255 Combine like terms: -687 + 78 = -609 -609 + -987x + 55x = -967x + 258 + -25x + 478 + 255 Combine like terms: -987x + 55x = -932x -609 + -932x = -967x + 258 + -25x + 478 + 255 Reorder the terms: -609 + -932x = 258 + 478 + 255 + -967x + -25x Combine like terms: 258 + 478 = 736 -609 + -932x = 736 + 255 + -967x + -25x Combine like terms: 736 + 255 = 991 -609 + -932x = 991 + -967x + -25x Combine like terms: -967x + -25x = -992x -609 + -932x = 991 + -992x Solving -609 + -932x = 991 + -992x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '992x' to each side of the equation. -609 + -932x + 992x = 991 + -992x + 992x Combine like terms: -932x + 992x = 60x -609 + 60x = 991 + -992x + 992x Combine like terms: -992x + 992x = 0 -609 + 60x = 991 + 0 -609 + 60x = 991 Add '609' to each side of the equation. -609 + 609 + 60x = 991 + 609 Combine like terms: -609 + 609 = 0 0 + 60x = 991 + 609 60x = 991 + 609 Combine like terms: 991 + 609 = 1600 60x = 1600 Divide each side by '60'. x = 26.66666667 Simplifying x = 26.66666667
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