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Simplifying 3(x + 7) = 21 + -12x Reorder the terms: 3(7 + x) = 21 + -12x (7 * 3 + x * 3) = 21 + -12x (21 + 3x) = 21 + -12x Add '-21' to each side of the equation. 21 + -21 + 3x = 21 + -21 + -12x Combine like terms: 21 + -21 = 0 0 + 3x = 21 + -21 + -12x 3x = 21 + -21 + -12x Combine like terms: 21 + -21 = 0 3x = 0 + -12x 3x = -12x Solving 3x = -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. 3x + 12x = -12x + 12x Combine like terms: 3x + 12x = 15x 15x = -12x + 12x Combine like terms: -12x + 12x = 0 15x = 0 Divide each side by '15'. x = 0 Simplifying x = 0
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