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Simplifying 5(-8x + -2) + -5(1 + -5x) = 4x + -1(-8x) Reorder the terms: 5(-2 + -8x) + -5(1 + -5x) = 4x + -1(-8x) (-2 * 5 + -8x * 5) + -5(1 + -5x) = 4x + -1(-8x) (-10 + -40x) + -5(1 + -5x) = 4x + -1(-8x) -10 + -40x + (1 * -5 + -5x * -5) = 4x + -1(-8x) -10 + -40x + (-5 + 25x) = 4x + -1(-8x) Reorder the terms: -10 + -5 + -40x + 25x = 4x + -1(-8x) Combine like terms: -10 + -5 = -15 -15 + -40x + 25x = 4x + -1(-8x) Combine like terms: -40x + 25x = -15x -15 + -15x = 4x + -1(-8x) Remove parenthesis around (-8x) -15 + -15x = 4x + -1 * -8x Multiply -1 * -8 -15 + -15x = 4x + 8x Combine like terms: 4x + 8x = 12x -15 + -15x = 12x Solving -15 + -15x = 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. -15 + -15x + -12x = 12x + -12x Combine like terms: -15x + -12x = -27x -15 + -27x = 12x + -12x Combine like terms: 12x + -12x = 0 -15 + -27x = 0 Add '15' to each side of the equation. -15 + 15 + -27x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -27x = 0 + 15 -27x = 0 + 15 Combine like terms: 0 + 15 = 15 -27x = 15 Divide each side by '-27'. x = -0.5555555556 Simplifying x = -0.5555555556
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