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Simplifying (1 + -5x) + 5(8x + -2) = 4x + -8x Remove parenthesis around (1 + -5x) 1 + -5x + 5(8x + -2) = 4x + -8x Reorder the terms: 1 + -5x + 5(-2 + 8x) = 4x + -8x 1 + -5x + (-2 * 5 + 8x * 5) = 4x + -8x 1 + -5x + (-10 + 40x) = 4x + -8x Reorder the terms: 1 + -10 + -5x + 40x = 4x + -8x Combine like terms: 1 + -10 = -9 -9 + -5x + 40x = 4x + -8x Combine like terms: -5x + 40x = 35x -9 + 35x = 4x + -8x Combine like terms: 4x + -8x = -4x -9 + 35x = -4x Solving -9 + 35x = -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. -9 + 35x + 4x = -4x + 4x Combine like terms: 35x + 4x = 39x -9 + 39x = -4x + 4x Combine like terms: -4x + 4x = 0 -9 + 39x = 0 Add '9' to each side of the equation. -9 + 9 + 39x = 0 + 9 Combine like terms: -9 + 9 = 0 0 + 39x = 0 + 9 39x = 0 + 9 Combine like terms: 0 + 9 = 9 39x = 9 Divide each side by '39'. x = 0.2307692308 Simplifying x = 0.2307692308
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