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Simplifying -6x + 5(1 + -8x) = 5 + -5x -6x + (1 * 5 + -8x * 5) = 5 + -5x -6x + (5 + -40x) = 5 + -5x Reorder the terms: 5 + -6x + -40x = 5 + -5x Combine like terms: -6x + -40x = -46x 5 + -46x = 5 + -5x Add '-5' to each side of the equation. 5 + -5 + -46x = 5 + -5 + -5x Combine like terms: 5 + -5 = 0 0 + -46x = 5 + -5 + -5x -46x = 5 + -5 + -5x Combine like terms: 5 + -5 = 0 -46x = 0 + -5x -46x = -5x Solving -46x = -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -46x + 5x = -5x + 5x Combine like terms: -46x + 5x = -41x -41x = -5x + 5x Combine like terms: -5x + 5x = 0 -41x = 0 Divide each side by '-41'. x = 0 Simplifying x = 0
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