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Simplifying 6(1 + -7x) = -39 + 3x (1 * 6 + -7x * 6) = -39 + 3x (6 + -42x) = -39 + 3x Solving 6 + -42x = -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 + -42x + -3x = -39 + 3x + -3x Combine like terms: -42x + -3x = -45x 6 + -45x = -39 + 3x + -3x Combine like terms: 3x + -3x = 0 6 + -45x = -39 + 0 6 + -45x = -39 Add '-6' to each side of the equation. 6 + -6 + -45x = -39 + -6 Combine like terms: 6 + -6 = 0 0 + -45x = -39 + -6 -45x = -39 + -6 Combine like terms: -39 + -6 = -45 -45x = -45 Divide each side by '-45'. x = 1 Simplifying x = 1
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