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Simplifying 4(-1x + -2) + -1(-5x + 1) = 1 Reorder the terms: 4(-2 + -1x) + -1(-5x + 1) = 1 (-2 * 4 + -1x * 4) + -1(-5x + 1) = 1 (-8 + -4x) + -1(-5x + 1) = 1 Reorder the terms: -8 + -4x + -1(1 + -5x) = 1 -8 + -4x + (1 * -1 + -5x * -1) = 1 -8 + -4x + (-1 + 5x) = 1 Reorder the terms: -8 + -1 + -4x + 5x = 1 Combine like terms: -8 + -1 = -9 -9 + -4x + 5x = 1 Combine like terms: -4x + 5x = 1x -9 + 1x = 1 Solving -9 + 1x = 1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '9' to each side of the equation. -9 + 9 + 1x = 1 + 9 Combine like terms: -9 + 9 = 0 0 + 1x = 1 + 9 1x = 1 + 9 Combine like terms: 1 + 9 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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