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Simplifying 6(7x + -1) + 5 = 24 + 3x Reorder the terms: 6(-1 + 7x) + 5 = 24 + 3x (-1 * 6 + 7x * 6) + 5 = 24 + 3x (-6 + 42x) + 5 = 24 + 3x Reorder the terms: -6 + 5 + 42x = 24 + 3x Combine like terms: -6 + 5 = -1 -1 + 42x = 24 + 3x Solving -1 + 42x = 24 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -1 + 42x + -3x = 24 + 3x + -3x Combine like terms: 42x + -3x = 39x -1 + 39x = 24 + 3x + -3x Combine like terms: 3x + -3x = 0 -1 + 39x = 24 + 0 -1 + 39x = 24 Add '1' to each side of the equation. -1 + 1 + 39x = 24 + 1 Combine like terms: -1 + 1 = 0 0 + 39x = 24 + 1 39x = 24 + 1 Combine like terms: 24 + 1 = 25 39x = 25 Divide each side by '39'. x = 0.641025641 Simplifying x = 0.641025641
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