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Simplifying -5(1 + -5x) + 5(8x + -2) = -8x (1 * -5 + -5x * -5) + 5(8x + -2) = -8x (-5 + 25x) + 5(8x + -2) = -8x Reorder the terms: -5 + 25x + 5(-2 + 8x) = -8x -5 + 25x + (-2 * 5 + 8x * 5) = -8x -5 + 25x + (-10 + 40x) = -8x Reorder the terms: -5 + -10 + 25x + 40x = -8x Combine like terms: -5 + -10 = -15 -15 + 25x + 40x = -8x Combine like terms: 25x + 40x = 65x -15 + 65x = -8x Solving -15 + 65x = -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. -15 + 65x + 8x = -8x + 8x Combine like terms: 65x + 8x = 73x -15 + 73x = -8x + 8x Combine like terms: -8x + 8x = 0 -15 + 73x = 0 Add '15' to each side of the equation. -15 + 15 + 73x = 0 + 15 Combine like terms: -15 + 15 = 0 0 + 73x = 0 + 15 73x = 0 + 15 Combine like terms: 0 + 15 = 15 73x = 15 Divide each side by '73'. x = 0.2054794521 Simplifying x = 0.2054794521
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