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Simplifying 6(1 + -7x) = -33 + -3x (1 * 6 + -7x * 6) = -33 + -3x (6 + -42x) = -33 + -3x Solving 6 + -42x = -33 + -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 = -33 + -3x + 3x Combine like terms: -42x + 3x = -39x 6 + -39x = -33 + -3x + 3x Combine like terms: -3x + 3x = 0 6 + -39x = -33 + 0 6 + -39x = -33 Add '-6' to each side of the equation. 6 + -6 + -39x = -33 + -6 Combine like terms: 6 + -6 = 0 0 + -39x = -33 + -6 -39x = -33 + -6 Combine like terms: -33 + -6 = -39 -39x = -39 Divide each side by '-39'. x = 1 Simplifying x = 1
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