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Simplifying -2x + -1(6x + 5) = -5(5 + -1x) + -8x Reorder the terms: -2x + -1(5 + 6x) = -5(5 + -1x) + -8x -2x + (5 * -1 + 6x * -1) = -5(5 + -1x) + -8x -2x + (-5 + -6x) = -5(5 + -1x) + -8x Reorder the terms: -5 + -2x + -6x = -5(5 + -1x) + -8x Combine like terms: -2x + -6x = -8x -5 + -8x = -5(5 + -1x) + -8x -5 + -8x = (5 * -5 + -1x * -5) + -8x -5 + -8x = (-25 + 5x) + -8x Combine like terms: 5x + -8x = -3x -5 + -8x = -25 + -3x Solving -5 + -8x = -25 + -3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '3x' to each side of the equation. -5 + -8x + 3x = -25 + -3x + 3x Combine like terms: -8x + 3x = -5x -5 + -5x = -25 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + -5x = -25 + 0 -5 + -5x = -25 Add '5' to each side of the equation. -5 + 5 + -5x = -25 + 5 Combine like terms: -5 + 5 = 0 0 + -5x = -25 + 5 -5x = -25 + 5 Combine like terms: -25 + 5 = -20 -5x = -20 Divide each side by '-5'. x = 4 Simplifying x = 4
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