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Simplifying 7x + 400 = 12x Reorder the terms: 400 + 7x = 12x Solving 400 + 7x = 12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12x' to each side of the equation. 400 + 7x + -12x = 12x + -12x Combine like terms: 7x + -12x = -5x 400 + -5x = 12x + -12x Combine like terms: 12x + -12x = 0 400 + -5x = 0 Add '-400' to each side of the equation. 400 + -400 + -5x = 0 + -400 Combine like terms: 400 + -400 = 0 0 + -5x = 0 + -400 -5x = 0 + -400 Combine like terms: 0 + -400 = -400 -5x = -400 Divide each side by '-5'. x = 80 Simplifying x = 80
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