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Simplifying 4(x + -2) + -1(8 + -5x) = 1 Reorder the terms: 4(-2 + x) + -1(8 + -5x) = 1 (-2 * 4 + x * 4) + -1(8 + -5x) = 1 (-8 + 4x) + -1(8 + -5x) = 1 -8 + 4x + (8 * -1 + -5x * -1) = 1 -8 + 4x + (-8 + 5x) = 1 Reorder the terms: -8 + -8 + 4x + 5x = 1 Combine like terms: -8 + -8 = -16 -16 + 4x + 5x = 1 Combine like terms: 4x + 5x = 9x -16 + 9x = 1 Solving -16 + 9x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '16' to each side of the equation. -16 + 16 + 9x = 1 + 16 Combine like terms: -16 + 16 = 0 0 + 9x = 1 + 16 9x = 1 + 16 Combine like terms: 1 + 16 = 17 9x = 17 Divide each side by '9'. x = 1.888888889 Simplifying x = 1.888888889
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