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Simplifying -5(1 + 5x) + (-8x + -2) = -4x + -8x (1 * -5 + 5x * -5) + (-8x + -2) = -4x + -8x (-5 + -25x) + (-8x + -2) = -4x + -8x Reorder the terms: -5 + -25x + (-2 + -8x) = -4x + -8x Remove parenthesis around (-2 + -8x) -5 + -25x + -2 + -8x = -4x + -8x Reorder the terms: -5 + -2 + -25x + -8x = -4x + -8x Combine like terms: -5 + -2 = -7 -7 + -25x + -8x = -4x + -8x Combine like terms: -25x + -8x = -33x -7 + -33x = -4x + -8x Combine like terms: -4x + -8x = -12x -7 + -33x = -12x Solving -7 + -33x = -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. -7 + -33x + 12x = -12x + 12x Combine like terms: -33x + 12x = -21x -7 + -21x = -12x + 12x Combine like terms: -12x + 12x = 0 -7 + -21x = 0 Add '7' to each side of the equation. -7 + 7 + -21x = 0 + 7 Combine like terms: -7 + 7 = 0 0 + -21x = 0 + 7 -21x = 0 + 7 Combine like terms: 0 + 7 = 7 -21x = 7 Divide each side by '-21'. x = -0.3333333333 Simplifying x = -0.3333333333
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