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Simplifying -3(1 + -5x) + 5(-8x + -2) = -4x + -8x (1 * -3 + -5x * -3) + 5(-8x + -2) = -4x + -8x (-3 + 15x) + 5(-8x + -2) = -4x + -8x Reorder the terms: -3 + 15x + 5(-2 + -8x) = -4x + -8x -3 + 15x + (-2 * 5 + -8x * 5) = -4x + -8x -3 + 15x + (-10 + -40x) = -4x + -8x Reorder the terms: -3 + -10 + 15x + -40x = -4x + -8x Combine like terms: -3 + -10 = -13 -13 + 15x + -40x = -4x + -8x Combine like terms: 15x + -40x = -25x -13 + -25x = -4x + -8x Combine like terms: -4x + -8x = -12x -13 + -25x = -12x Solving -13 + -25x = -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. -13 + -25x + 12x = -12x + 12x Combine like terms: -25x + 12x = -13x -13 + -13x = -12x + 12x Combine like terms: -12x + 12x = 0 -13 + -13x = 0 Add '13' to each side of the equation. -13 + 13 + -13x = 0 + 13 Combine like terms: -13 + 13 = 0 0 + -13x = 0 + 13 -13x = 0 + 13 Combine like terms: 0 + 13 = 13 -13x = 13 Divide each side by '-13'. x = -1 Simplifying x = -1
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