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Simplifying -47 = 5x + 6(1 + -8x) -47 = 5x + (1 * 6 + -8x * 6) -47 = 5x + (6 + -48x) Reorder the terms: -47 = 6 + 5x + -48x Combine like terms: 5x + -48x = -43x -47 = 6 + -43x Solving -47 = 6 + -43x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '43x' to each side of the equation. -47 + 43x = 6 + -43x + 43x Combine like terms: -43x + 43x = 0 -47 + 43x = 6 + 0 -47 + 43x = 6 Add '47' to each side of the equation. -47 + 47 + 43x = 6 + 47 Combine like terms: -47 + 47 = 0 0 + 43x = 6 + 47 43x = 6 + 47 Combine like terms: 6 + 47 = 53 43x = 53 Divide each side by '43'. x = 1.23255814 Simplifying x = 1.23255814
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