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Simplifying -5(1 + -5x) + 5(-8x + -2) = 4 + -1x + -8x (1 * -5 + -5x * -5) + 5(-8x + -2) = 4 + -1x + -8x (-5 + 25x) + 5(-8x + -2) = 4 + -1x + -8x Reorder the terms: -5 + 25x + 5(-2 + -8x) = 4 + -1x + -8x -5 + 25x + (-2 * 5 + -8x * 5) = 4 + -1x + -8x -5 + 25x + (-10 + -40x) = 4 + -1x + -8x Reorder the terms: -5 + -10 + 25x + -40x = 4 + -1x + -8x Combine like terms: -5 + -10 = -15 -15 + 25x + -40x = 4 + -1x + -8x Combine like terms: 25x + -40x = -15x -15 + -15x = 4 + -1x + -8x Combine like terms: -1x + -8x = -9x -15 + -15x = 4 + -9x Solving -15 + -15x = 4 + -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. -15 + -15x + 9x = 4 + -9x + 9x Combine like terms: -15x + 9x = -6x -15 + -6x = 4 + -9x + 9x Combine like terms: -9x + 9x = 0 -15 + -6x = 4 + 0 -15 + -6x = 4 Add '15' to each side of the equation. -15 + 15 + -6x = 4 + 15 Combine like terms: -15 + 15 = 0 0 + -6x = 4 + 15 -6x = 4 + 15 Combine like terms: 4 + 15 = 19 -6x = 19 Divide each side by '-6'. x = -3.166666667 Simplifying x = -3.166666667
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