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Simplifying -4(x + 5) + -1(-5x + -1) = -9 Reorder the terms: -4(5 + x) + -1(-5x + -1) = -9 (5 * -4 + x * -4) + -1(-5x + -1) = -9 (-20 + -4x) + -1(-5x + -1) = -9 Reorder the terms: -20 + -4x + -1(-1 + -5x) = -9 -20 + -4x + (-1 * -1 + -5x * -1) = -9 -20 + -4x + (1 + 5x) = -9 Reorder the terms: -20 + 1 + -4x + 5x = -9 Combine like terms: -20 + 1 = -19 -19 + -4x + 5x = -9 Combine like terms: -4x + 5x = 1x -19 + 1x = -9 Solving -19 + 1x = -9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '19' to each side of the equation. -19 + 19 + 1x = -9 + 19 Combine like terms: -19 + 19 = 0 0 + 1x = -9 + 19 1x = -9 + 19 Combine like terms: -9 + 19 = 10 1x = 10 Divide each side by '1'. x = 10 Simplifying x = 10
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