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Simplifying 6(7x + -1) + 3x = 4x + 76 Reorder the terms: 6(-1 + 7x) + 3x = 4x + 76 (-1 * 6 + 7x * 6) + 3x = 4x + 76 (-6 + 42x) + 3x = 4x + 76 Combine like terms: 42x + 3x = 45x -6 + 45x = 4x + 76 Reorder the terms: -6 + 45x = 76 + 4x Solving -6 + 45x = 76 + 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. -6 + 45x + -4x = 76 + 4x + -4x Combine like terms: 45x + -4x = 41x -6 + 41x = 76 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 41x = 76 + 0 -6 + 41x = 76 Add '6' to each side of the equation. -6 + 6 + 41x = 76 + 6 Combine like terms: -6 + 6 = 0 0 + 41x = 76 + 6 41x = 76 + 6 Combine like terms: 76 + 6 = 82 41x = 82 Divide each side by '41'. x = 2 Simplifying x = 2
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