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Simplifying 6(7x + -1) + -3x = 4x + 6 Reorder the terms: 6(-1 + 7x) + -3x = 4x + 6 (-1 * 6 + 7x * 6) + -3x = 4x + 6 (-6 + 42x) + -3x = 4x + 6 Combine like terms: 42x + -3x = 39x -6 + 39x = 4x + 6 Reorder the terms: -6 + 39x = 6 + 4x Solving -6 + 39x = 6 + 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 + 39x + -4x = 6 + 4x + -4x Combine like terms: 39x + -4x = 35x -6 + 35x = 6 + 4x + -4x Combine like terms: 4x + -4x = 0 -6 + 35x = 6 + 0 -6 + 35x = 6 Add '6' to each side of the equation. -6 + 6 + 35x = 6 + 6 Combine like terms: -6 + 6 = 0 0 + 35x = 6 + 6 35x = 6 + 6 Combine like terms: 6 + 6 = 12 35x = 12 Divide each side by '35'. x = 0.3428571429 Simplifying x = 0.3428571429
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