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Simplifying -3x + -21 = -6(1 + -2x) Reorder the terms: -21 + -3x = -6(1 + -2x) -21 + -3x = (1 * -6 + -2x * -6) -21 + -3x = (-6 + 12x) Solving -21 + -3x = -6 + 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. -21 + -3x + -12x = -6 + 12x + -12x Combine like terms: -3x + -12x = -15x -21 + -15x = -6 + 12x + -12x Combine like terms: 12x + -12x = 0 -21 + -15x = -6 + 0 -21 + -15x = -6 Add '21' to each side of the equation. -21 + 21 + -15x = -6 + 21 Combine like terms: -21 + 21 = 0 0 + -15x = -6 + 21 -15x = -6 + 21 Combine like terms: -6 + 21 = 15 -15x = 15 Divide each side by '-15'. x = -1 Simplifying x = -1
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