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Simplifying -38 = 6(x + -8) + -8x Reorder the terms: -38 = 6(-8 + x) + -8x -38 = (-8 * 6 + x * 6) + -8x -38 = (-48 + 6x) + -8x Combine like terms: 6x + -8x = -2x -38 = -48 + -2x Solving -38 = -48 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -38 + 2x = -48 + -2x + 2x Combine like terms: -2x + 2x = 0 -38 + 2x = -48 + 0 -38 + 2x = -48 Add '38' to each side of the equation. -38 + 38 + 2x = -48 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = -48 + 38 2x = -48 + 38 Combine like terms: -48 + 38 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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