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Simplifying 8x + -1(1 + -1x) = 47 + -3x 8x + (1 * -1 + -1x * -1) = 47 + -3x 8x + (-1 + 1x) = 47 + -3x Reorder the terms: -1 + 8x + 1x = 47 + -3x Combine like terms: 8x + 1x = 9x -1 + 9x = 47 + -3x Solving -1 + 9x = 47 + -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. -1 + 9x + 3x = 47 + -3x + 3x Combine like terms: 9x + 3x = 12x -1 + 12x = 47 + -3x + 3x Combine like terms: -3x + 3x = 0 -1 + 12x = 47 + 0 -1 + 12x = 47 Add '1' to each side of the equation. -1 + 1 + 12x = 47 + 1 Combine like terms: -1 + 1 = 0 0 + 12x = 47 + 1 12x = 47 + 1 Combine like terms: 47 + 1 = 48 12x = 48 Divide each side by '12'. x = 4 Simplifying x = 4
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