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Simplifying 13x + 21 = 4x + 12 Reorder the terms: 21 + 13x = 4x + 12 Reorder the terms: 21 + 13x = 12 + 4x Solving 21 + 13x = 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 + 13x + -4x = 12 + 4x + -4x Combine like terms: 13x + -4x = 9x 21 + 9x = 12 + 4x + -4x Combine like terms: 4x + -4x = 0 21 + 9x = 12 + 0 21 + 9x = 12 Add '-21' to each side of the equation. 21 + -21 + 9x = 12 + -21 Combine like terms: 21 + -21 = 0 0 + 9x = 12 + -21 9x = 12 + -21 Combine like terms: 12 + -21 = -9 9x = -9 Divide each side by '9'. x = -1 Simplifying x = -1
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