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Simplifying 6(1 + -6x) = 39 + -3x (1 * 6 + -6x * 6) = 39 + -3x (6 + -36x) = 39 + -3x Solving 6 + -36x = 39 + -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. 6 + -36x + 3x = 39 + -3x + 3x Combine like terms: -36x + 3x = -33x 6 + -33x = 39 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -33x = 39 + 0 6 + -33x = 39 Add '-6' to each side of the equation. 6 + -6 + -33x = 39 + -6 Combine like terms: 6 + -6 = 0 0 + -33x = 39 + -6 -33x = 39 + -6 Combine like terms: 39 + -6 = 33 -33x = 33 Divide each side by '-33'. x = -1 Simplifying x = -1
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