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Simplifying -1(1 + -7x) = -1x + 23 (1 * -1 + -7x * -1) = -1x + 23 (-1 + 7x) = -1x + 23 Reorder the terms: -1 + 7x = 23 + -1x Solving -1 + 7x = 23 + -1x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add 'x' to each side of the equation. -1 + 7x + x = 23 + -1x + x Combine like terms: 7x + x = 8x -1 + 8x = 23 + -1x + x Combine like terms: -1x + x = 0 -1 + 8x = 23 + 0 -1 + 8x = 23 Add '1' to each side of the equation. -1 + 1 + 8x = 23 + 1 Combine like terms: -1 + 1 = 0 0 + 8x = 23 + 1 8x = 23 + 1 Combine like terms: 23 + 1 = 24 8x = 24 Divide each side by '8'. x = 3 Simplifying x = 3
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