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Simplifying -38 = 8(x + -4) + -2x Reorder the terms: -38 = 8(-4 + x) + -2x -38 = (-4 * 8 + x * 8) + -2x -38 = (-32 + 8x) + -2x Combine like terms: 8x + -2x = 6x -38 = -32 + 6x Solving -38 = -32 + 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 = -32 + 6x + -6x Combine like terms: 6x + -6x = 0 -38 + -6x = -32 + 0 -38 + -6x = -32 Add '38' to each side of the equation. -38 + 38 + -6x = -32 + 38 Combine like terms: -38 + 38 = 0 0 + -6x = -32 + 38 -6x = -32 + 38 Combine like terms: -32 + 38 = 6 -6x = 6 Divide each side by '-6'. x = -1 Simplifying x = -1
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