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Simplifying -5(1 + -5x) + 5(-8x) = -4x + -8x + -2 (1 * -5 + -5x * -5) + 5(-8x) = -4x + -8x + -2 (-5 + 25x) + 5(-8x) = -4x + -8x + -2 Remove parenthesis around (-8x) -5 + 25x + 5 * -8x = -4x + -8x + -2 Multiply 5 * -8 -5 + 25x + -40x = -4x + -8x + -2 Combine like terms: 25x + -40x = -15x -5 + -15x = -4x + -8x + -2 Reorder the terms: -5 + -15x = -2 + -4x + -8x Combine like terms: -4x + -8x = -12x -5 + -15x = -2 + -12x Solving -5 + -15x = -2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -5 + -15x + 12x = -2 + -12x + 12x Combine like terms: -15x + 12x = -3x -5 + -3x = -2 + -12x + 12x Combine like terms: -12x + 12x = 0 -5 + -3x = -2 + 0 -5 + -3x = -2 Add '5' to each side of the equation. -5 + 5 + -3x = -2 + 5 Combine like terms: -5 + 5 = 0 0 + -3x = -2 + 5 -3x = -2 + 5 Combine like terms: -2 + 5 = 3 -3x = 3 Divide each side by '-3'. x = -1 Simplifying x = -1
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