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Simplifying -5(1 + -5x) + 5(-8 + -2x) = 4x + -8 (1 * -5 + -5x * -5) + 5(-8 + -2x) = 4x + -8 (-5 + 25x) + 5(-8 + -2x) = 4x + -8 -5 + 25x + (-8 * 5 + -2x * 5) = 4x + -8 -5 + 25x + (-40 + -10x) = 4x + -8 Reorder the terms: -5 + -40 + 25x + -10x = 4x + -8 Combine like terms: -5 + -40 = -45 -45 + 25x + -10x = 4x + -8 Combine like terms: 25x + -10x = 15x -45 + 15x = 4x + -8 Reorder the terms: -45 + 15x = -8 + 4x Solving -45 + 15x = -8 + 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. -45 + 15x + -4x = -8 + 4x + -4x Combine like terms: 15x + -4x = 11x -45 + 11x = -8 + 4x + -4x Combine like terms: 4x + -4x = 0 -45 + 11x = -8 + 0 -45 + 11x = -8 Add '45' to each side of the equation. -45 + 45 + 11x = -8 + 45 Combine like terms: -45 + 45 = 0 0 + 11x = -8 + 45 11x = -8 + 45 Combine like terms: -8 + 45 = 37 11x = 37 Divide each side by '11'. x = 3.363636364 Simplifying x = 3.363636364
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