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Simplifying 8x + -1(4x + 1) = 5(2 + x) Reorder the terms: 8x + -1(1 + 4x) = 5(2 + x) 8x + (1 * -1 + 4x * -1) = 5(2 + x) 8x + (-1 + -4x) = 5(2 + x) Reorder the terms: -1 + 8x + -4x = 5(2 + x) Combine like terms: 8x + -4x = 4x -1 + 4x = 5(2 + x) -1 + 4x = (2 * 5 + x * 5) -1 + 4x = (10 + 5x) Solving -1 + 4x = 10 + 5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-5x' to each side of the equation. -1 + 4x + -5x = 10 + 5x + -5x Combine like terms: 4x + -5x = -1x -1 + -1x = 10 + 5x + -5x Combine like terms: 5x + -5x = 0 -1 + -1x = 10 + 0 -1 + -1x = 10 Add '1' to each side of the equation. -1 + 1 + -1x = 10 + 1 Combine like terms: -1 + 1 = 0 0 + -1x = 10 + 1 -1x = 10 + 1 Combine like terms: 10 + 1 = 11 -1x = 11 Divide each side by '-1'. x = -11 Simplifying x = -11
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