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