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Simplifying 7x + 5(7x + -1) = 6x + 4 Reorder the terms: 7x + 5(-1 + 7x) = 6x + 4 7x + (-1 * 5 + 7x * 5) = 6x + 4 7x + (-5 + 35x) = 6x + 4 Reorder the terms: -5 + 7x + 35x = 6x + 4 Combine like terms: 7x + 35x = 42x -5 + 42x = 6x + 4 Reorder the terms: -5 + 42x = 4 + 6x Solving -5 + 42x = 4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -5 + 42x + -6x = 4 + 6x + -6x Combine like terms: 42x + -6x = 36x -5 + 36x = 4 + 6x + -6x Combine like terms: 6x + -6x = 0 -5 + 36x = 4 + 0 -5 + 36x = 4 Add '5' to each side of the equation. -5 + 5 + 36x = 4 + 5 Combine like terms: -5 + 5 = 0 0 + 36x = 4 + 5 36x = 4 + 5 Combine like terms: 4 + 5 = 9 36x = 9 Divide each side by '36'. x = 0.25 Simplifying x = 0.25
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