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Simplifying -2(1 + -7x) = -38 + 5x (1 * -2 + -7x * -2) = -38 + 5x (-2 + 14x) = -38 + 5x Solving -2 + 14x = -38 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -2 + 14x + -5x = -38 + 5x + -5x Combine like terms: 14x + -5x = 9x -2 + 9x = -38 + 5x + -5x Combine like terms: 5x + -5x = 0 -2 + 9x = -38 + 0 -2 + 9x = -38 Add '2' to each side of the equation. -2 + 2 + 9x = -38 + 2 Combine like terms: -2 + 2 = 0 0 + 9x = -38 + 2 9x = -38 + 2 Combine like terms: -38 + 2 = -36 9x = -36 Divide each side by '9'. x = -4 Simplifying x = -4
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