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Simplifying 7(7 + -1x) = 50 + -2(3 + 4x) (7 * 7 + -1x * 7) = 50 + -2(3 + 4x) (49 + -7x) = 50 + -2(3 + 4x) 49 + -7x = 50 + (3 * -2 + 4x * -2) 49 + -7x = 50 + (-6 + -8x) Combine like terms: 50 + -6 = 44 49 + -7x = 44 + -8x Solving 49 + -7x = 44 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 49 + -7x + 8x = 44 + -8x + 8x Combine like terms: -7x + 8x = 1x 49 + 1x = 44 + -8x + 8x Combine like terms: -8x + 8x = 0 49 + 1x = 44 + 0 49 + 1x = 44 Add '-49' to each side of the equation. 49 + -49 + 1x = 44 + -49 Combine like terms: 49 + -49 = 0 0 + 1x = 44 + -49 1x = 44 + -49 Combine like terms: 44 + -49 = -5 1x = -5 Divide each side by '1'. x = -5 Simplifying x = -5
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