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Simplifying -5(1 + -5x) + 5(-8x + -2) = -5x + -45 (1 * -5 + -5x * -5) + 5(-8x + -2) = -5x + -45 (-5 + 25x) + 5(-8x + -2) = -5x + -45 Reorder the terms: -5 + 25x + 5(-2 + -8x) = -5x + -45 -5 + 25x + (-2 * 5 + -8x * 5) = -5x + -45 -5 + 25x + (-10 + -40x) = -5x + -45 Reorder the terms: -5 + -10 + 25x + -40x = -5x + -45 Combine like terms: -5 + -10 = -15 -15 + 25x + -40x = -5x + -45 Combine like terms: 25x + -40x = -15x -15 + -15x = -5x + -45 Reorder the terms: -15 + -15x = -45 + -5x Solving -15 + -15x = -45 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -15 + -15x + 5x = -45 + -5x + 5x Combine like terms: -15x + 5x = -10x -15 + -10x = -45 + -5x + 5x Combine like terms: -5x + 5x = 0 -15 + -10x = -45 + 0 -15 + -10x = -45 Add '15' to each side of the equation. -15 + 15 + -10x = -45 + 15 Combine like terms: -15 + 15 = 0 0 + -10x = -45 + 15 -10x = -45 + 15 Combine like terms: -45 + 15 = -30 -10x = -30 Divide each side by '-10'. x = 3 Simplifying x = 3
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