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Simplifying 3x + 39 = 7(7x + -1) Reorder the terms: 39 + 3x = 7(7x + -1) Reorder the terms: 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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