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Simplifying 7(3x + -1 + 4(x + 1)) = -5x + -5 Reorder the terms: 7(3x + -1 + 4(1 + x)) = -5x + -5 7(3x + -1 + (1 * 4 + x * 4)) = -5x + -5 7(3x + -1 + (4 + 4x)) = -5x + -5 Reorder the terms: 7(-1 + 4 + 3x + 4x) = -5x + -5 Combine like terms: -1 + 4 = 3 7(3 + 3x + 4x) = -5x + -5 Combine like terms: 3x + 4x = 7x 7(3 + 7x) = -5x + -5 (3 * 7 + 7x * 7) = -5x + -5 (21 + 49x) = -5x + -5 Reorder the terms: 21 + 49x = -5 + -5x Solving 21 + 49x = -5 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 21 + 49x + 5x = -5 + -5x + 5x Combine like terms: 49x + 5x = 54x 21 + 54x = -5 + -5x + 5x Combine like terms: -5x + 5x = 0 21 + 54x = -5 + 0 21 + 54x = -5 Add '-21' to each side of the equation. 21 + -21 + 54x = -5 + -21 Combine like terms: 21 + -21 = 0 0 + 54x = -5 + -21 54x = -5 + -21 Combine like terms: -5 + -21 = -26 54x = -26 Divide each side by '54'. x = -0.4814814815 Simplifying x = -0.4814814815
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