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Simplifying -5(1 + -5x + 3) + 5(-8x + -2) = -4x + -8x Reorder the terms: -5(1 + 3 + -5x) + 5(-8x + -2) = -4x + -8x Combine like terms: 1 + 3 = 4 -5(4 + -5x) + 5(-8x + -2) = -4x + -8x (4 * -5 + -5x * -5) + 5(-8x + -2) = -4x + -8x (-20 + 25x) + 5(-8x + -2) = -4x + -8x Reorder the terms: -20 + 25x + 5(-2 + -8x) = -4x + -8x -20 + 25x + (-2 * 5 + -8x * 5) = -4x + -8x -20 + 25x + (-10 + -40x) = -4x + -8x Reorder the terms: -20 + -10 + 25x + -40x = -4x + -8x Combine like terms: -20 + -10 = -30 -30 + 25x + -40x = -4x + -8x Combine like terms: 25x + -40x = -15x -30 + -15x = -4x + -8x Combine like terms: -4x + -8x = -12x -30 + -15x = -12x Solving -30 + -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. -30 + -15x + 12x = -12x + 12x Combine like terms: -15x + 12x = -3x -30 + -3x = -12x + 12x Combine like terms: -12x + 12x = 0 -30 + -3x = 0 Add '30' to each side of the equation. -30 + 30 + -3x = 0 + 30 Combine like terms: -30 + 30 = 0 0 + -3x = 0 + 30 -3x = 0 + 30 Combine like terms: 0 + 30 = 30 -3x = 30 Divide each side by '-3'. x = -10 Simplifying x = -10
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