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Simplifying 3x + 74 = 8x + 9 Reorder the terms: 74 + 3x = 8x + 9 Reorder the terms: 74 + 3x = 9 + 8x Solving 74 + 3x = 9 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 74 + 3x + -8x = 9 + 8x + -8x Combine like terms: 3x + -8x = -5x 74 + -5x = 9 + 8x + -8x Combine like terms: 8x + -8x = 0 74 + -5x = 9 + 0 74 + -5x = 9 Add '-74' to each side of the equation. 74 + -74 + -5x = 9 + -74 Combine like terms: 74 + -74 = 0 0 + -5x = 9 + -74 -5x = 9 + -74 Combine like terms: 9 + -74 = -65 -5x = -65 Divide each side by '-5'. x = 13 Simplifying x = 13
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