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Simplifying -5(1 + -5x) + 5(8x + -2) = -4x + -8 (1 * -5 + -5x * -5) + 5(8x + -2) = -4x + -8 (-5 + 25x) + 5(8x + -2) = -4x + -8 Reorder the terms: -5 + 25x + 5(-2 + 8x) = -4x + -8 -5 + 25x + (-2 * 5 + 8x * 5) = -4x + -8 -5 + 25x + (-10 + 40x) = -4x + -8 Reorder the terms: -5 + -10 + 25x + 40x = -4x + -8 Combine like terms: -5 + -10 = -15 -15 + 25x + 40x = -4x + -8 Combine like terms: 25x + 40x = 65x -15 + 65x = -4x + -8 Reorder the terms: -15 + 65x = -8 + -4x Solving -15 + 65x = -8 + -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. -15 + 65x + 4x = -8 + -4x + 4x Combine like terms: 65x + 4x = 69x -15 + 69x = -8 + -4x + 4x Combine like terms: -4x + 4x = 0 -15 + 69x = -8 + 0 -15 + 69x = -8 Add '15' to each side of the equation. -15 + 15 + 69x = -8 + 15 Combine like terms: -15 + 15 = 0 0 + 69x = -8 + 15 69x = -8 + 15 Combine like terms: -8 + 15 = 7 69x = 7 Divide each side by '69'. x = 0.1014492754 Simplifying x = 0.1014492754
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