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Simplifying 7(x + 7) = 3(x + -1) Reorder the terms: 7(7 + x) = 3(x + -1) (7 * 7 + x * 7) = 3(x + -1) (49 + 7x) = 3(x + -1) Reorder the terms: 49 + 7x = 3(-1 + x) 49 + 7x = (-1 * 3 + x * 3) 49 + 7x = (-3 + 3x) Solving 49 + 7x = -3 + 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. 49 + 7x + -3x = -3 + 3x + -3x Combine like terms: 7x + -3x = 4x 49 + 4x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 49 + 4x = -3 + 0 49 + 4x = -3 Add '-49' to each side of the equation. 49 + -49 + 4x = -3 + -49 Combine like terms: 49 + -49 = 0 0 + 4x = -3 + -49 4x = -3 + -49 Combine like terms: -3 + -49 = -52 4x = -52 Divide each side by '4'. x = -13 Simplifying x = -13
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