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Simplifying 8x + -1(2x + 4) = 4x + -38 Reorder the terms: 8x + -1(4 + 2x) = 4x + -38 8x + (4 * -1 + 2x * -1) = 4x + -38 8x + (-4 + -2x) = 4x + -38 Reorder the terms: -4 + 8x + -2x = 4x + -38 Combine like terms: 8x + -2x = 6x -4 + 6x = 4x + -38 Reorder the terms: -4 + 6x = -38 + 4x Solving -4 + 6x = -38 + 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. -4 + 6x + -4x = -38 + 4x + -4x Combine like terms: 6x + -4x = 2x -4 + 2x = -38 + 4x + -4x Combine like terms: 4x + -4x = 0 -4 + 2x = -38 + 0 -4 + 2x = -38 Add '4' to each side of the equation. -4 + 4 + 2x = -38 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = -38 + 4 2x = -38 + 4 Combine like terms: -38 + 4 = -34 2x = -34 Divide each side by '2'. x = -17 Simplifying x = -17
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