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Simplifying 39 + -3x = 7(1 + -5x) 39 + -3x = (1 * 7 + -5x * 7) 39 + -3x = (7 + -35x) Solving 39 + -3x = 7 + -35x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '35x' to each side of the equation. 39 + -3x + 35x = 7 + -35x + 35x Combine like terms: -3x + 35x = 32x 39 + 32x = 7 + -35x + 35x Combine like terms: -35x + 35x = 0 39 + 32x = 7 + 0 39 + 32x = 7 Add '-39' to each side of the equation. 39 + -39 + 32x = 7 + -39 Combine like terms: 39 + -39 = 0 0 + 32x = 7 + -39 32x = 7 + -39 Combine like terms: 7 + -39 = -32 32x = -32 Divide each side by '32'. x = -1 Simplifying x = -1
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