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Simplifying -8(x + 7) + 1 = -39 + -6x Reorder the terms: -8(7 + x) + 1 = -39 + -6x (7 * -8 + x * -8) + 1 = -39 + -6x (-56 + -8x) + 1 = -39 + -6x Reorder the terms: -56 + 1 + -8x = -39 + -6x Combine like terms: -56 + 1 = -55 -55 + -8x = -39 + -6x Solving -55 + -8x = -39 + -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. -55 + -8x + 6x = -39 + -6x + 6x Combine like terms: -8x + 6x = -2x -55 + -2x = -39 + -6x + 6x Combine like terms: -6x + 6x = 0 -55 + -2x = -39 + 0 -55 + -2x = -39 Add '55' to each side of the equation. -55 + 55 + -2x = -39 + 55 Combine like terms: -55 + 55 = 0 0 + -2x = -39 + 55 -2x = -39 + 55 Combine like terms: -39 + 55 = 16 -2x = 16 Divide each side by '-2'. x = -8 Simplifying x = -8
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