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Simplifying -7 + -8(x + -6) = -39 + 8x Reorder the terms: -7 + -8(-6 + x) = -39 + 8x -7 + (-6 * -8 + x * -8) = -39 + 8x -7 + (48 + -8x) = -39 + 8x Combine like terms: -7 + 48 = 41 41 + -8x = -39 + 8x Solving 41 + -8x = -39 + 8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8x' to each side of the equation. 41 + -8x + -8x = -39 + 8x + -8x Combine like terms: -8x + -8x = -16x 41 + -16x = -39 + 8x + -8x Combine like terms: 8x + -8x = 0 41 + -16x = -39 + 0 41 + -16x = -39 Add '-41' to each side of the equation. 41 + -41 + -16x = -39 + -41 Combine like terms: 41 + -41 = 0 0 + -16x = -39 + -41 -16x = -39 + -41 Combine like terms: -39 + -41 = -80 -16x = -80 Divide each side by '-16'. x = 5 Simplifying x = 5
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