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Simplifying 4x + -5 = -1(7x + 34) Reorder the terms: -5 + 4x = -1(7x + 34) Reorder the terms: -5 + 4x = -1(34 + 7x) -5 + 4x = (34 * -1 + 7x * -1) -5 + 4x = (-34 + -7x) Solving -5 + 4x = -34 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. -5 + 4x + 7x = -34 + -7x + 7x Combine like terms: 4x + 7x = 11x -5 + 11x = -34 + -7x + 7x Combine like terms: -7x + 7x = 0 -5 + 11x = -34 + 0 -5 + 11x = -34 Add '5' to each side of the equation. -5 + 5 + 11x = -34 + 5 Combine like terms: -5 + 5 = 0 0 + 11x = -34 + 5 11x = -34 + 5 Combine like terms: -34 + 5 = -29 11x = -29 Divide each side by '11'. x = -2.636363636 Simplifying x = -2.636363636
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