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Simplifying -1 + 6(7x + 6) = (4x + -4) + 7 Reorder the terms: -1 + 6(6 + 7x) = (4x + -4) + 7 -1 + (6 * 6 + 7x * 6) = (4x + -4) + 7 -1 + (36 + 42x) = (4x + -4) + 7 Combine like terms: -1 + 36 = 35 35 + 42x = (4x + -4) + 7 Reorder the terms: 35 + 42x = (-4 + 4x) + 7 Remove parenthesis around (-4 + 4x) 35 + 42x = -4 + 4x + 7 Reorder the terms: 35 + 42x = -4 + 7 + 4x Combine like terms: -4 + 7 = 3 35 + 42x = 3 + 4x Solving 35 + 42x = 3 + 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. 35 + 42x + -4x = 3 + 4x + -4x Combine like terms: 42x + -4x = 38x 35 + 38x = 3 + 4x + -4x Combine like terms: 4x + -4x = 0 35 + 38x = 3 + 0 35 + 38x = 3 Add '-35' to each side of the equation. 35 + -35 + 38x = 3 + -35 Combine like terms: 35 + -35 = 0 0 + 38x = 3 + -35 38x = 3 + -35 Combine like terms: 3 + -35 = -32 38x = -32 Divide each side by '38'. x = -0.8421052632 Simplifying x = -0.8421052632
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