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Simplifying 7x + 21 = 4x + 12 Reorder the terms: 21 + 7x = 4x + 12 Reorder the terms: 21 + 7x = 12 + 4x Solving 21 + 7x = 12 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 21 + 7x + -4x = 12 + 4x + -4x Combine like terms: 7x + -4x = 3x 21 + 3x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 3x = 12 + 0 21 + 3x = 12 Add '-21' to each side of the equation. 21 + -21 + 3x = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 3x = 12 + -21 3x = 12 + -21 Combine like terms: 12 + -21 = -9 3x = -9 Divide each side by '3'. x = -3 Simplifying x = -3
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