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Simplifying -5x + 7(x + -4) = -38 Reorder the terms: -5x + 7(-4 + x) = -38 -5x + (-4 * 7 + x * 7) = -38 -5x + (-28 + 7x) = -38 Reorder the terms: -28 + -5x + 7x = -38 Combine like terms: -5x + 7x = 2x -28 + 2x = -38 Solving -28 + 2x = -38 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '28' to each side of the equation. -28 + 28 + 2x = -38 + 28 Combine like terms: -28 + 28 = 0 0 + 2x = -38 + 28 2x = -38 + 28 Combine like terms: -38 + 28 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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