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Simplifying -5(1 + 5x) + 5(-8x + 2) = 4x + -8x (1 * -5 + 5x * -5) + 5(-8x + 2) = 4x + -8x (-5 + -25x) + 5(-8x + 2) = 4x + -8x Reorder the terms: -5 + -25x + 5(2 + -8x) = 4x + -8x -5 + -25x + (2 * 5 + -8x * 5) = 4x + -8x -5 + -25x + (10 + -40x) = 4x + -8x Reorder the terms: -5 + 10 + -25x + -40x = 4x + -8x Combine like terms: -5 + 10 = 5 5 + -25x + -40x = 4x + -8x Combine like terms: -25x + -40x = -65x 5 + -65x = 4x + -8x Combine like terms: 4x + -8x = -4x 5 + -65x = -4x Solving 5 + -65x = -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. 5 + -65x + 4x = -4x + 4x Combine like terms: -65x + 4x = -61x 5 + -61x = -4x + 4x Combine like terms: -4x + 4x = 0 5 + -61x = 0 Add '-5' to each side of the equation. 5 + -5 + -61x = 0 + -5 Combine like terms: 5 + -5 = 0 0 + -61x = 0 + -5 -61x = 0 + -5 Combine like terms: 0 + -5 = -5 -61x = -5 Divide each side by '-61'. x = 0.08196721311 Simplifying x = 0.08196721311
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