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Simplifying 6(7x + -1) = 43x Reorder the terms: 6(-1 + 7x) = 43x (-1 * 6 + 7x * 6) = 43x (-6 + 42x) = 43x Solving -6 + 42x = 43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-43x' to each side of the equation. -6 + 42x + -43x = 43x + -43x Combine like terms: 42x + -43x = -1x -6 + -1x = 43x + -43x Combine like terms: 43x + -43x = 0 -6 + -1x = 0 Add '6' to each side of the equation. -6 + 6 + -1x = 0 + 6 Combine like terms: -6 + 6 = 0 0 + -1x = 0 + 6 -1x = 0 + 6 Combine like terms: 0 + 6 = 6 -1x = 6 Divide each side by '-1'. x = -6 Simplifying x = -6
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