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Simplifying -4(4 + -4x) + -5(5x + 5) = -1 (4 * -4 + -4x * -4) + -5(5x + 5) = -1 (-16 + 16x) + -5(5x + 5) = -1 Reorder the terms: -16 + 16x + -5(5 + 5x) = -1 -16 + 16x + (5 * -5 + 5x * -5) = -1 -16 + 16x + (-25 + -25x) = -1 Reorder the terms: -16 + -25 + 16x + -25x = -1 Combine like terms: -16 + -25 = -41 -41 + 16x + -25x = -1 Combine like terms: 16x + -25x = -9x -41 + -9x = -1 Solving -41 + -9x = -1 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '41' to each side of the equation. -41 + 41 + -9x = -1 + 41 Combine like terms: -41 + 41 = 0 0 + -9x = -1 + 41 -9x = -1 + 41 Combine like terms: -1 + 41 = 40 -9x = 40 Divide each side by '-9'. x = -4.444444444 Simplifying x = -4.444444444
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