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Simplifying -6 + -6(1 + -6x) = 21 + 3x -6 + (1 * -6 + -6x * -6) = 21 + 3x -6 + (-6 + 36x) = 21 + 3x Combine like terms: -6 + -6 = -12 -12 + 36x = 21 + 3x Solving -12 + 36x = 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. -12 + 36x + -3x = 21 + 3x + -3x Combine like terms: 36x + -3x = 33x -12 + 33x = 21 + 3x + -3x Combine like terms: 3x + -3x = 0 -12 + 33x = 21 + 0 -12 + 33x = 21 Add '12' to each side of the equation. -12 + 12 + 33x = 21 + 12 Combine like terms: -12 + 12 = 0 0 + 33x = 21 + 12 33x = 21 + 12 Combine like terms: 21 + 12 = 33 33x = 33 Divide each side by '33'. x = 1 Simplifying x = 1
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