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Simplifying -39 + -3x = -7(-1 + 7x) -39 + -3x = (-1 * -7 + 7x * -7) -39 + -3x = (7 + -49x) Solving -39 + -3x = 7 + -49x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49x' to each side of the equation. -39 + -3x + 49x = 7 + -49x + 49x Combine like terms: -3x + 49x = 46x -39 + 46x = 7 + -49x + 49x Combine like terms: -49x + 49x = 0 -39 + 46x = 7 + 0 -39 + 46x = 7 Add '39' to each side of the equation. -39 + 39 + 46x = 7 + 39 Combine like terms: -39 + 39 = 0 0 + 46x = 7 + 39 46x = 7 + 39 Combine like terms: 7 + 39 = 46 46x = 46 Divide each side by '46'. x = 1 Simplifying x = 1
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