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Simplifying 8x + -1(4x + 7) = 1 Reorder the terms: 8x + -1(7 + 4x) = 1 8x + (7 * -1 + 4x * -1) = 1 8x + (-7 + -4x) = 1 Reorder the terms: -7 + 8x + -4x = 1 Combine like terms: 8x + -4x = 4x -7 + 4x = 1 Solving -7 + 4x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7' to each side of the equation. -7 + 7 + 4x = 1 + 7 Combine like terms: -7 + 7 = 0 0 + 4x = 1 + 7 4x = 1 + 7 Combine like terms: 1 + 7 = 8 4x = 8 Divide each side by '4'. x = 2 Simplifying x = 2
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