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Simplifying 3(4x + -1) = 3x + -21 Reorder the terms: 3(-1 + 4x) = 3x + -21 (-1 * 3 + 4x * 3) = 3x + -21 (-3 + 12x) = 3x + -21 Reorder the terms: -3 + 12x = -21 + 3x Solving -3 + 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. -3 + 12x + -3x = -21 + 3x + -3x Combine like terms: 12x + -3x = 9x -3 + 9x = -21 + 3x + -3x Combine like terms: 3x + -3x = 0 -3 + 9x = -21 + 0 -3 + 9x = -21 Add '3' to each side of the equation. -3 + 3 + 9x = -21 + 3 Combine like terms: -3 + 3 = 0 0 + 9x = -21 + 3 9x = -21 + 3 Combine like terms: -21 + 3 = -18 9x = -18 Divide each side by '9'. x = -2 Simplifying x = -2
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