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Simplifying 3(1 + -4x) = -21 + -6x (1 * 3 + -4x * 3) = -21 + -6x (3 + -12x) = -21 + -6x Solving 3 + -12x = -21 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. 3 + -12x + 6x = -21 + -6x + 6x Combine like terms: -12x + 6x = -6x 3 + -6x = -21 + -6x + 6x Combine like terms: -6x + 6x = 0 3 + -6x = -21 + 0 3 + -6x = -21 Add '-3' to each side of the equation. 3 + -3 + -6x = -21 + -3 Combine like terms: 3 + -3 = 0 0 + -6x = -21 + -3 -6x = -21 + -3 Combine like terms: -21 + -3 = -24 -6x = -24 Divide each side by '-6'. x = 4 Simplifying x = 4
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