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Simplifying -12x = -5(1 + -5x) + 5(-8x + -2) -12x = (1 * -5 + -5x * -5) + 5(-8x + -2) -12x = (-5 + 25x) + 5(-8x + -2) Reorder the terms: -12x = -5 + 25x + 5(-2 + -8x) -12x = -5 + 25x + (-2 * 5 + -8x * 5) -12x = -5 + 25x + (-10 + -40x) Reorder the terms: -12x = -5 + -10 + 25x + -40x Combine like terms: -5 + -10 = -15 -12x = -15 + 25x + -40x Combine like terms: 25x + -40x = -15x -12x = -15 + -15x Solving -12x = -15 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -12x + 15x = -15 + -15x + 15x Combine like terms: -12x + 15x = 3x 3x = -15 + -15x + 15x Combine like terms: -15x + 15x = 0 3x = -15 + 0 3x = -15 Divide each side by '3'. x = -5 Simplifying x = -5
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