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Simplifying 5(-8x + 1) = -4x + 1 Reorder the terms: 5(1 + -8x) = -4x + 1 (1 * 5 + -8x * 5) = -4x + 1 (5 + -40x) = -4x + 1 Reorder the terms: 5 + -40x = 1 + -4x Solving 5 + -40x = 1 + -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 + -40x + 4x = 1 + -4x + 4x Combine like terms: -40x + 4x = -36x 5 + -36x = 1 + -4x + 4x Combine like terms: -4x + 4x = 0 5 + -36x = 1 + 0 5 + -36x = 1 Add '-5' to each side of the equation. 5 + -5 + -36x = 1 + -5 Combine like terms: 5 + -5 = 0 0 + -36x = 1 + -5 -36x = 1 + -5 Combine like terms: 1 + -5 = -4 -36x = -4 Divide each side by '-36'. x = 0.1111111111 Simplifying x = 0.1111111111
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