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Simplifying -5(1 + -5x) + 5(-8x + -2) = -4x + -9x (1 * -5 + -5x * -5) + 5(-8x + -2) = -4x + -9x (-5 + 25x) + 5(-8x + -2) = -4x + -9x Reorder the terms: -5 + 25x + 5(-2 + -8x) = -4x + -9x -5 + 25x + (-2 * 5 + -8x * 5) = -4x + -9x -5 + 25x + (-10 + -40x) = -4x + -9x Reorder the terms: -5 + -10 + 25x + -40x = -4x + -9x Combine like terms: -5 + -10 = -15 -15 + 25x + -40x = -4x + -9x Combine like terms: 25x + -40x = -15x -15 + -15x = -4x + -9x Combine like terms: -4x + -9x = -13x -15 + -15x = -13x Solving -15 + -15x = -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. -15 + -15x + 13x = -13x + 13x Combine like terms: -15x + 13x = -2x -15 + -2x = -13x + 13x Combine like terms: -13x + 13x = 0 -15 + -2x = 0 Add '15' to each side of the equation. -15 + 15 + -2x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + -2x = 0 + 15 -2x = 0 + 15 Combine like terms: 0 + 15 = 15 -2x = 15 Divide each side by '-2'. x = -7.5 Simplifying x = -7.5
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