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Simplifying -92(x + 59) = -29x + 116 Reorder the terms: -92(59 + x) = -29x + 116 (59 * -92 + x * -92) = -29x + 116 (-5428 + -92x) = -29x + 116 Reorder the terms: -5428 + -92x = 116 + -29x Solving -5428 + -92x = 116 + -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. -5428 + -92x + 29x = 116 + -29x + 29x Combine like terms: -92x + 29x = -63x -5428 + -63x = 116 + -29x + 29x Combine like terms: -29x + 29x = 0 -5428 + -63x = 116 + 0 -5428 + -63x = 116 Add '5428' to each side of the equation. -5428 + 5428 + -63x = 116 + 5428 Combine like terms: -5428 + 5428 = 0 0 + -63x = 116 + 5428 -63x = 116 + 5428 Combine like terms: 116 + 5428 = 5544 -63x = 5544 Divide each side by '-63'. x = -88 Simplifying x = -88
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