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Simplifying 8x = 41 + -1(1 + -3x) 8x = 41 + (1 * -1 + -3x * -1) 8x = 41 + (-1 + 3x) Combine like terms: 41 + -1 = 40 8x = 40 + 3x Solving 8x = 40 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 8x + -3x = 40 + 3x + -3x Combine like terms: 8x + -3x = 5x 5x = 40 + 3x + -3x Combine like terms: 3x + -3x = 0 5x = 40 + 0 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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