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Simplifying 5x + 21 = 12x + -4 Reorder the terms: 21 + 5x = 12x + -4 Reorder the terms: 21 + 5x = -4 + 12x Solving 21 + 5x = -4 + 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. 21 + 5x + -12x = -4 + 12x + -12x Combine like terms: 5x + -12x = -7x 21 + -7x = -4 + 12x + -12x Combine like terms: 12x + -12x = 0 21 + -7x = -4 + 0 21 + -7x = -4 Add '-21' to each side of the equation. 21 + -21 + -7x = -4 + -21 Combine like terms: 21 + -21 = 0 0 + -7x = -4 + -21 -7x = -4 + -21 Combine like terms: -4 + -21 = -25 -7x = -25 Divide each side by '-7'. x = 3.571428571 Simplifying x = 3.571428571
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