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Simplifying 39(3x + -52) + 90 = 83x + -5168 Reorder the terms: 39(-52 + 3x) + 90 = 83x + -5168 (-52 * 39 + 3x * 39) + 90 = 83x + -5168 (-2028 + 117x) + 90 = 83x + -5168 Reorder the terms: -2028 + 90 + 117x = 83x + -5168 Combine like terms: -2028 + 90 = -1938 -1938 + 117x = 83x + -5168 Reorder the terms: -1938 + 117x = -5168 + 83x Solving -1938 + 117x = -5168 + 83x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-83x' to each side of the equation. -1938 + 117x + -83x = -5168 + 83x + -83x Combine like terms: 117x + -83x = 34x -1938 + 34x = -5168 + 83x + -83x Combine like terms: 83x + -83x = 0 -1938 + 34x = -5168 + 0 -1938 + 34x = -5168 Add '1938' to each side of the equation. -1938 + 1938 + 34x = -5168 + 1938 Combine like terms: -1938 + 1938 = 0 0 + 34x = -5168 + 1938 34x = -5168 + 1938 Combine like terms: -5168 + 1938 = -3230 34x = -3230 Divide each side by '34'. x = -95 Simplifying x = -95
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