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Simplifying 7(7 + -1x) = 4(x + -6) (7 * 7 + -1x * 7) = 4(x + -6) (49 + -7x) = 4(x + -6) Reorder the terms: 49 + -7x = 4(-6 + x) 49 + -7x = (-6 * 4 + x * 4) 49 + -7x = (-24 + 4x) Solving 49 + -7x = -24 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 49 + -7x + -4x = -24 + 4x + -4x Combine like terms: -7x + -4x = -11x 49 + -11x = -24 + 4x + -4x Combine like terms: 4x + -4x = 0 49 + -11x = -24 + 0 49 + -11x = -24 Add '-49' to each side of the equation. 49 + -49 + -11x = -24 + -49 Combine like terms: 49 + -49 = 0 0 + -11x = -24 + -49 -11x = -24 + -49 Combine like terms: -24 + -49 = -73 -11x = -73 Divide each side by '-11'. x = 6.636363636 Simplifying x = 6.636363636
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