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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 = 17x -7 + 17x = 4x + -8x Combine like terms: 4x + -8x = -4x -7 + 17x = -4x Solving -7 + 17x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -7 + 17x + 4x = -4x + 4x Combine like terms: 17x + 4x = 21x -7 + 21x = -4x + 4x Combine like terms: -4x + 4x = 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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