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Simplifying 6(7x + -2) = 43x Reorder the terms: 6(-2 + 7x) = 43x (-2 * 6 + 7x * 6) = 43x (-12 + 42x) = 43x Solving -12 + 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. -12 + 42x + -43x = 43x + -43x Combine like terms: 42x + -43x = -1x -12 + -1x = 43x + -43x Combine like terms: 43x + -43x = 0 -12 + -1x = 0 Add '12' to each side of the equation. -12 + 12 + -1x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -1x = 0 + 12 -1x = 0 + 12 Combine like terms: 0 + 12 = 12 -1x = 12 Divide each side by '-1'. x = -12 Simplifying x = -12
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