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Simplifying 3x + 74 = 6x + 47 Reorder the terms: 74 + 3x = 6x + 47 Reorder the terms: 74 + 3x = 47 + 6x Solving 74 + 3x = 47 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. 74 + 3x + -6x = 47 + 6x + -6x Combine like terms: 3x + -6x = -3x 74 + -3x = 47 + 6x + -6x Combine like terms: 6x + -6x = 0 74 + -3x = 47 + 0 74 + -3x = 47 Add '-74' to each side of the equation. 74 + -74 + -3x = 47 + -74 Combine like terms: 74 + -74 = 0 0 + -3x = 47 + -74 -3x = 47 + -74 Combine like terms: 47 + -74 = -27 -3x = -27 Divide each side by '-3'. x = 9 Simplifying x = 9
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