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Simplifying 7(6x + -2) = 43x Reorder the terms: 7(-2 + 6x) = 43x (-2 * 7 + 6x * 7) = 43x (-14 + 42x) = 43x Solving -14 + 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. -14 + 42x + -43x = 43x + -43x Combine like terms: 42x + -43x = -1x -14 + -1x = 43x + -43x Combine like terms: 43x + -43x = 0 -14 + -1x = 0 Add '14' to each side of the equation. -14 + 14 + -1x = 0 + 14 Combine like terms: -14 + 14 = 0 0 + -1x = 0 + 14 -1x = 0 + 14 Combine like terms: 0 + 14 = 14 -1x = 14 Divide each side by '-1'. x = -14 Simplifying x = -14
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