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Simplifying 3(x + 2) = 12x + -21 Reorder the terms: 3(2 + x) = 12x + -21 (2 * 3 + x * 3) = 12x + -21 (6 + 3x) = 12x + -21 Reorder the terms: 6 + 3x = -21 + 12x Solving 6 + 3x = -21 + 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. 6 + 3x + -12x = -21 + 12x + -12x Combine like terms: 3x + -12x = -9x 6 + -9x = -21 + 12x + -12x Combine like terms: 12x + -12x = 0 6 + -9x = -21 + 0 6 + -9x = -21 Add '-6' to each side of the equation. 6 + -6 + -9x = -21 + -6 Combine like terms: 6 + -6 = 0 0 + -9x = -21 + -6 -9x = -21 + -6 Combine like terms: -21 + -6 = -27 -9x = -27 Divide each side by '-9'. x = 3 Simplifying x = 3
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