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