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Simplifying -6x + 21 = -3(1 + -2x) Reorder the terms: 21 + -6x = -3(1 + -2x) 21 + -6x = (1 * -3 + -2x * -3) 21 + -6x = (-3 + 6x) Solving 21 + -6x = -3 + 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. 21 + -6x + -6x = -3 + 6x + -6x Combine like terms: -6x + -6x = -12x 21 + -12x = -3 + 6x + -6x Combine like terms: 6x + -6x = 0 21 + -12x = -3 + 0 21 + -12x = -3 Add '-21' to each side of the equation. 21 + -21 + -12x = -3 + -21 Combine like terms: 21 + -21 = 0 0 + -12x = -3 + -21 -12x = -3 + -21 Combine like terms: -3 + -21 = -24 -12x = -24 Divide each side by '-12'. x = 2 Simplifying x = 2
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