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Simplifying -38 = 2(x + 8) + -8x Reorder the terms: -38 = 2(8 + x) + -8x -38 = (8 * 2 + x * 2) + -8x -38 = (16 + 2x) + -8x Combine like terms: 2x + -8x = -6x -38 = 16 + -6x Solving -38 = 16 + -6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '6x' to each side of the equation. -38 + 6x = 16 + -6x + 6x Combine like terms: -6x + 6x = 0 -38 + 6x = 16 + 0 -38 + 6x = 16 Add '38' to each side of the equation. -38 + 38 + 6x = 16 + 38 Combine like terms: -38 + 38 = 0 0 + 6x = 16 + 38 6x = 16 + 38 Combine like terms: 16 + 38 = 54 6x = 54 Divide each side by '6'. x = 9 Simplifying x = 9
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