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Simplifying -2(3 + -4x) = 7(x + 2) (3 * -2 + -4x * -2) = 7(x + 2) (-6 + 8x) = 7(x + 2) Reorder the terms: -6 + 8x = 7(2 + x) -6 + 8x = (2 * 7 + x * 7) -6 + 8x = (14 + 7x) Solving -6 + 8x = 14 + 7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-7x' to each side of the equation. -6 + 8x + -7x = 14 + 7x + -7x Combine like terms: 8x + -7x = 1x -6 + 1x = 14 + 7x + -7x Combine like terms: 7x + -7x = 0 -6 + 1x = 14 + 0 -6 + 1x = 14 Add '6' to each side of the equation. -6 + 6 + 1x = 14 + 6 Combine like terms: -6 + 6 = 0 0 + 1x = 14 + 6 1x = 14 + 6 Combine like terms: 14 + 6 = 20 1x = 20 Divide each side by '1'. x = 20 Simplifying x = 20
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