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Simplifying 8 + -1(3x + 5) = 43 + -8x Reorder the terms: 8 + -1(5 + 3x) = 43 + -8x 8 + (5 * -1 + 3x * -1) = 43 + -8x 8 + (-5 + -3x) = 43 + -8x Combine like terms: 8 + -5 = 3 3 + -3x = 43 + -8x Solving 3 + -3x = 43 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 3 + -3x + 8x = 43 + -8x + 8x Combine like terms: -3x + 8x = 5x 3 + 5x = 43 + -8x + 8x Combine like terms: -8x + 8x = 0 3 + 5x = 43 + 0 3 + 5x = 43 Add '-3' to each side of the equation. 3 + -3 + 5x = 43 + -3 Combine like terms: 3 + -3 = 0 0 + 5x = 43 + -3 5x = 43 + -3 Combine like terms: 43 + -3 = 40 5x = 40 Divide each side by '5'. x = 8 Simplifying x = 8
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