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Simplifying 8x + 29 = 5x + 74 Reorder the terms: 29 + 8x = 5x + 74 Reorder the terms: 29 + 8x = 74 + 5x Solving 29 + 8x = 74 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. 29 + 8x + -5x = 74 + 5x + -5x Combine like terms: 8x + -5x = 3x 29 + 3x = 74 + 5x + -5x Combine like terms: 5x + -5x = 0 29 + 3x = 74 + 0 29 + 3x = 74 Add '-29' to each side of the equation. 29 + -29 + 3x = 74 + -29 Combine like terms: 29 + -29 = 0 0 + 3x = 74 + -29 3x = 74 + -29 Combine like terms: 74 + -29 = 45 3x = 45 Divide each side by '3'. x = 15 Simplifying x = 15
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