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Simplifying -2(1 + -7x) = -4(x + 5) (1 * -2 + -7x * -2) = -4(x + 5) (-2 + 14x) = -4(x + 5) Reorder the terms: -2 + 14x = -4(5 + x) -2 + 14x = (5 * -4 + x * -4) -2 + 14x = (-20 + -4x) Solving -2 + 14x = -20 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -2 + 14x + 4x = -20 + -4x + 4x Combine like terms: 14x + 4x = 18x -2 + 18x = -20 + -4x + 4x Combine like terms: -4x + 4x = 0 -2 + 18x = -20 + 0 -2 + 18x = -20 Add '2' to each side of the equation. -2 + 2 + 18x = -20 + 2 Combine like terms: -2 + 2 = 0 0 + 18x = -20 + 2 18x = -20 + 2 Combine like terms: -20 + 2 = -18 18x = -18 Divide each side by '18'. x = -1 Simplifying x = -1
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