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Simplifying -8(x + -7) = 1 + -7x Reorder the terms: -8(-7 + x) = 1 + -7x (-7 * -8 + x * -8) = 1 + -7x (56 + -8x) = 1 + -7x Solving 56 + -8x = 1 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 56 + -8x + 7x = 1 + -7x + 7x Combine like terms: -8x + 7x = -1x 56 + -1x = 1 + -7x + 7x Combine like terms: -7x + 7x = 0 56 + -1x = 1 + 0 56 + -1x = 1 Add '-56' to each side of the equation. 56 + -56 + -1x = 1 + -56 Combine like terms: 56 + -56 = 0 0 + -1x = 1 + -56 -1x = 1 + -56 Combine like terms: 1 + -56 = -55 -1x = -55 Divide each side by '-1'. x = 55 Simplifying x = 55
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