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Simplifying 7(6x + -3) = 43x Reorder the terms: 7(-3 + 6x) = 43x (-3 * 7 + 6x * 7) = 43x (-21 + 42x) = 43x Solving -21 + 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. -21 + 42x + -43x = 43x + -43x Combine like terms: 42x + -43x = -1x -21 + -1x = 43x + -43x Combine like terms: 43x + -43x = 0 -21 + -1x = 0 Add '21' to each side of the equation. -21 + 21 + -1x = 0 + 21 Combine like terms: -21 + 21 = 0 0 + -1x = 0 + 21 -1x = 0 + 21 Combine like terms: 0 + 21 = 21 -1x = 21 Divide each side by '-1'. x = -21 Simplifying x = -21
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