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Simplifying -6(1 + -5x) + 5(-8x + -2) = 4x + -8x (1 * -6 + -5x * -6) + 5(-8x + -2) = 4x + -8x (-6 + 30x) + 5(-8x + -2) = 4x + -8x Reorder the terms: -6 + 30x + 5(-2 + -8x) = 4x + -8x -6 + 30x + (-2 * 5 + -8x * 5) = 4x + -8x -6 + 30x + (-10 + -40x) = 4x + -8x Reorder the terms: -6 + -10 + 30x + -40x = 4x + -8x Combine like terms: -6 + -10 = -16 -16 + 30x + -40x = 4x + -8x Combine like terms: 30x + -40x = -10x -16 + -10x = 4x + -8x Combine like terms: 4x + -8x = -4x -16 + -10x = -4x Solving -16 + -10x = -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. -16 + -10x + 4x = -4x + 4x Combine like terms: -10x + 4x = -6x -16 + -6x = -4x + 4x Combine like terms: -4x + 4x = 0 -16 + -6x = 0 Add '16' to each side of the equation. -16 + 16 + -6x = 0 + 16 Combine like terms: -16 + 16 = 0 0 + -6x = 0 + 16 -6x = 0 + 16 Combine like terms: 0 + 16 = 16 -6x = 16 Divide each side by '-6'. x = -2.666666667 Simplifying x = -2.666666667
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