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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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