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Simplifying 6(7x + -1) + 5 = 24 + x Reorder the terms: 6(-1 + 7x) + 5 = 24 + x (-1 * 6 + 7x * 6) + 5 = 24 + x (-6 + 42x) + 5 = 24 + x Reorder the terms: -6 + 5 + 42x = 24 + x Combine like terms: -6 + 5 = -1 -1 + 42x = 24 + x Solving -1 + 42x = 24 + x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -1 + 42x + -1x = 24 + x + -1x Combine like terms: 42x + -1x = 41x -1 + 41x = 24 + x + -1x Combine like terms: x + -1x = 0 -1 + 41x = 24 + 0 -1 + 41x = 24 Add '1' to each side of the equation. -1 + 1 + 41x = 24 + 1 Combine like terms: -1 + 1 = 0 0 + 41x = 24 + 1 41x = 24 + 1 Combine like terms: 24 + 1 = 25 41x = 25 Divide each side by '41'. x = 0.6097560976 Simplifying x = 0.6097560976
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