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Simplifying -5(1 + -6x) + 5(-8x + -2) = -4x + -8x (1 * -5 + -6x * -5) + 5(-8x + -2) = -4x + -8x (-5 + 30x) + 5(-8x + -2) = -4x + -8x Reorder the terms: -5 + 30x + 5(-2 + -8x) = -4x + -8x -5 + 30x + (-2 * 5 + -8x * 5) = -4x + -8x -5 + 30x + (-10 + -40x) = -4x + -8x Reorder the terms: -5 + -10 + 30x + -40x = -4x + -8x Combine like terms: -5 + -10 = -15 -15 + 30x + -40x = -4x + -8x Combine like terms: 30x + -40x = -10x -15 + -10x = -4x + -8x Combine like terms: -4x + -8x = -12x -15 + -10x = -12x Solving -15 + -10x = -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. -15 + -10x + 12x = -12x + 12x Combine like terms: -10x + 12x = 2x -15 + 2x = -12x + 12x Combine like terms: -12x + 12x = 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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