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Simplifying 29(x + 5) = 3x + 21 Reorder the terms: 29(5 + x) = 3x + 21 (5 * 29 + x * 29) = 3x + 21 (145 + 29x) = 3x + 21 Reorder the terms: 145 + 29x = 21 + 3x Solving 145 + 29x = 21 + 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. 145 + 29x + -3x = 21 + 3x + -3x Combine like terms: 29x + -3x = 26x 145 + 26x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 145 + 26x = 21 + 0 145 + 26x = 21 Add '-145' to each side of the equation. 145 + -145 + 26x = 21 + -145 Combine like terms: 145 + -145 = 0 0 + 26x = 21 + -145 26x = 21 + -145 Combine like terms: 21 + -145 = -124 26x = -124 Divide each side by '26'. x = -4.769230769 Simplifying x = -4.769230769
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