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Simplifying -7(x + 4) = -5x + -38 Reorder the terms: -7(4 + x) = -5x + -38 (4 * -7 + x * -7) = -5x + -38 (-28 + -7x) = -5x + -38 Reorder the terms: -28 + -7x = -38 + -5x Solving -28 + -7x = -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. -28 + -7x + 5x = -38 + -5x + 5x Combine like terms: -7x + 5x = -2x -28 + -2x = -38 + -5x + 5x Combine like terms: -5x + 5x = 0 -28 + -2x = -38 + 0 -28 + -2x = -38 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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