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Simplifying -8 + 4x = 2x + -8(1 + -5x) -8 + 4x = 2x + (1 * -8 + -5x * -8) -8 + 4x = 2x + (-8 + 40x) Reorder the terms: -8 + 4x = -8 + 2x + 40x Combine like terms: 2x + 40x = 42x -8 + 4x = -8 + 42x Add '8' to each side of the equation. -8 + 8 + 4x = -8 + 8 + 42x Combine like terms: -8 + 8 = 0 0 + 4x = -8 + 8 + 42x 4x = -8 + 8 + 42x Combine like terms: -8 + 8 = 0 4x = 0 + 42x 4x = 42x Solving 4x = 42x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-42x' to each side of the equation. 4x + -42x = 42x + -42x Combine like terms: 4x + -42x = -38x -38x = 42x + -42x Combine like terms: 42x + -42x = 0 -38x = 0 Divide each side by '-38'. x = 0 Simplifying x = 0
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