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Simplifying -38 = 6(x + -7) + -8x Reorder the terms: -38 = 6(-7 + x) + -8x -38 = (-7 * 6 + x * 6) + -8x -38 = (-42 + 6x) + -8x Combine like terms: 6x + -8x = -2x -38 = -42 + -2x Solving -38 = -42 + -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 = -42 + -2x + 2x Combine like terms: -2x + 2x = 0 -38 + 2x = -42 + 0 -38 + 2x = -42 Add '38' to each side of the equation. -38 + 38 + 2x = -42 + 38 Combine like terms: -38 + 38 = 0 0 + 2x = -42 + 38 2x = -42 + 38 Combine like terms: -42 + 38 = -4 2x = -4 Divide each side by '2'. x = -2 Simplifying x = -2
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