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Simplifying 3(4x + -2) = 3x + 21 Reorder the terms: 3(-2 + 4x) = 3x + 21 (-2 * 3 + 4x * 3) = 3x + 21 (-6 + 12x) = 3x + 21 Reorder the terms: -6 + 12x = 21 + 3x Solving -6 + 12x = 21 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -6 + 12x + -3x = 21 + 3x + -3x Combine like terms: 12x + -3x = 9x -6 + 9x = 21 + 3x + -3x Combine like terms: 3x + -3x = 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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