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Simplifying -78 + 66x + -21x + 20 + -47 + 88x = 10x + -36x + 18 Reorder the terms: -78 + 20 + -47 + 66x + -21x + 88x = 10x + -36x + 18 Combine like terms: -78 + 20 = -58 -58 + -47 + 66x + -21x + 88x = 10x + -36x + 18 Combine like terms: -58 + -47 = -105 -105 + 66x + -21x + 88x = 10x + -36x + 18 Combine like terms: 66x + -21x = 45x -105 + 45x + 88x = 10x + -36x + 18 Combine like terms: 45x + 88x = 133x -105 + 133x = 10x + -36x + 18 Reorder the terms: -105 + 133x = 18 + 10x + -36x Combine like terms: 10x + -36x = -26x -105 + 133x = 18 + -26x Solving -105 + 133x = 18 + -26x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '26x' to each side of the equation. -105 + 133x + 26x = 18 + -26x + 26x Combine like terms: 133x + 26x = 159x -105 + 159x = 18 + -26x + 26x Combine like terms: -26x + 26x = 0 -105 + 159x = 18 + 0 -105 + 159x = 18 Add '105' to each side of the equation. -105 + 105 + 159x = 18 + 105 Combine like terms: -105 + 105 = 0 0 + 159x = 18 + 105 159x = 18 + 105 Combine like terms: 18 + 105 = 123 159x = 123 Divide each side by '159'. x = 0.7735849057 Simplifying x = 0.7735849057
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