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Simplifying 29(x + -3) + -5 = 3x + 6 Reorder the terms: 29(-3 + x) + -5 = 3x + 6 (-3 * 29 + x * 29) + -5 = 3x + 6 (-87 + 29x) + -5 = 3x + 6 Reorder the terms: -87 + -5 + 29x = 3x + 6 Combine like terms: -87 + -5 = -92 -92 + 29x = 3x + 6 Reorder the terms: -92 + 29x = 6 + 3x Solving -92 + 29x = 6 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -92 + 29x + -3x = 6 + 3x + -3x Combine like terms: 29x + -3x = 26x -92 + 26x = 6 + 3x + -3x Combine like terms: 3x + -3x = 0 -92 + 26x = 6 + 0 -92 + 26x = 6 Add '92' to each side of the equation. -92 + 92 + 26x = 6 + 92 Combine like terms: -92 + 92 = 0 0 + 26x = 6 + 92 26x = 6 + 92 Combine like terms: 6 + 92 = 98 26x = 98 Divide each side by '26'. x = 3.769230769 Simplifying x = 3.769230769
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