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Simplifying x + -1 + -4x = -4(4x + -4) + -5(1 + -5x) Reorder the terms: -1 + x + -4x = -4(4x + -4) + -5(1 + -5x) Combine like terms: x + -4x = -3x -1 + -3x = -4(4x + -4) + -5(1 + -5x) Reorder the terms: -1 + -3x = -4(-4 + 4x) + -5(1 + -5x) -1 + -3x = (-4 * -4 + 4x * -4) + -5(1 + -5x) -1 + -3x = (16 + -16x) + -5(1 + -5x) -1 + -3x = 16 + -16x + (1 * -5 + -5x * -5) -1 + -3x = 16 + -16x + (-5 + 25x) Reorder the terms: -1 + -3x = 16 + -5 + -16x + 25x Combine like terms: 16 + -5 = 11 -1 + -3x = 11 + -16x + 25x Combine like terms: -16x + 25x = 9x -1 + -3x = 11 + 9x Solving -1 + -3x = 11 + 9x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. -1 + -3x + -9x = 11 + 9x + -9x Combine like terms: -3x + -9x = -12x -1 + -12x = 11 + 9x + -9x Combine like terms: 9x + -9x = 0 -1 + -12x = 11 + 0 -1 + -12x = 11 Add '1' to each side of the equation. -1 + 1 + -12x = 11 + 1 Combine like terms: -1 + 1 = 0 0 + -12x = 11 + 1 -12x = 11 + 1 Combine like terms: 11 + 1 = 12 -12x = 12 Divide each side by '-12'. x = -1 Simplifying x = -1
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