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Simplifying 12x + -74 = 100 + 6x Reorder the terms: -74 + 12x = 100 + 6x Solving -74 + 12x = 100 + 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 + 12x + -6x = 100 + 6x + -6x Combine like terms: 12x + -6x = 6x -74 + 6x = 100 + 6x + -6x Combine like terms: 6x + -6x = 0 -74 + 6x = 100 + 0 -74 + 6x = 100 Add '74' to each side of the equation. -74 + 74 + 6x = 100 + 74 Combine like terms: -74 + 74 = 0 0 + 6x = 100 + 74 6x = 100 + 74 Combine like terms: 100 + 74 = 174 6x = 174 Divide each side by '6'. x = 29 Simplifying x = 29
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