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Simplifying (-2)(2 + -4x) = 3x + -7(7x + -2) (2 * -2 + -4x * -2) = 3x + -7(7x + -2) (-4 + 8x) = 3x + -7(7x + -2) Reorder the terms: -4 + 8x = 3x + -7(-2 + 7x) -4 + 8x = 3x + (-2 * -7 + 7x * -7) -4 + 8x = 3x + (14 + -49x) Reorder the terms: -4 + 8x = 14 + 3x + -49x Combine like terms: 3x + -49x = -46x -4 + 8x = 14 + -46x Solving -4 + 8x = 14 + -46x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '46x' to each side of the equation. -4 + 8x + 46x = 14 + -46x + 46x Combine like terms: 8x + 46x = 54x -4 + 54x = 14 + -46x + 46x Combine like terms: -46x + 46x = 0 -4 + 54x = 14 + 0 -4 + 54x = 14 Add '4' to each side of the equation. -4 + 4 + 54x = 14 + 4 Combine like terms: -4 + 4 = 0 0 + 54x = 14 + 4 54x = 14 + 4 Combine like terms: 14 + 4 = 18 54x = 18 Divide each side by '54'. x = 0.3333333333 Simplifying x = 0.3333333333
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