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Simplifying 3(1 + -4x) = -39 + -5x (1 * 3 + -4x * 3) = -39 + -5x (3 + -12x) = -39 + -5x Solving 3 + -12x = -39 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 3 + -12x + 5x = -39 + -5x + 5x Combine like terms: -12x + 5x = -7x 3 + -7x = -39 + -5x + 5x Combine like terms: -5x + 5x = 0 3 + -7x = -39 + 0 3 + -7x = -39 Add '-3' to each side of the equation. 3 + -3 + -7x = -39 + -3 Combine like terms: 3 + -3 = 0 0 + -7x = -39 + -3 -7x = -39 + -3 Combine like terms: -39 + -3 = -42 -7x = -42 Divide each side by '-7'. x = 6 Simplifying x = 6
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