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Simplifying (8x + -1) + -1(2 + -1x) = 5(x + -2) + 4 Reorder the terms: (-1 + 8x) + -1(2 + -1x) = 5(x + -2) + 4 Remove parenthesis around (-1 + 8x) -1 + 8x + -1(2 + -1x) = 5(x + -2) + 4 -1 + 8x + (2 * -1 + -1x * -1) = 5(x + -2) + 4 -1 + 8x + (-2 + 1x) = 5(x + -2) + 4 Reorder the terms: -1 + -2 + 8x + 1x = 5(x + -2) + 4 Combine like terms: -1 + -2 = -3 -3 + 8x + 1x = 5(x + -2) + 4 Combine like terms: 8x + 1x = 9x -3 + 9x = 5(x + -2) + 4 Reorder the terms: -3 + 9x = 5(-2 + x) + 4 -3 + 9x = (-2 * 5 + x * 5) + 4 -3 + 9x = (-10 + 5x) + 4 Reorder the terms: -3 + 9x = -10 + 4 + 5x Combine like terms: -10 + 4 = -6 -3 + 9x = -6 + 5x Solving -3 + 9x = -6 + 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. -3 + 9x + -5x = -6 + 5x + -5x Combine like terms: 9x + -5x = 4x -3 + 4x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -3 + 4x = -6 + 0 -3 + 4x = -6 Add '3' to each side of the equation. -3 + 3 + 4x = -6 + 3 Combine like terms: -3 + 3 = 0 0 + 4x = -6 + 3 4x = -6 + 3 Combine like terms: -6 + 3 = -3 4x = -3 Divide each side by '4'. x = -0.75 Simplifying x = -0.75
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