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Simplifying 8(x + -1) = 3x + -43 Reorder the terms: 8(-1 + x) = 3x + -43 (-1 * 8 + x * 8) = 3x + -43 (-8 + 8x) = 3x + -43 Reorder the terms: -8 + 8x = -43 + 3x Solving -8 + 8x = -43 + 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. -8 + 8x + -3x = -43 + 3x + -3x Combine like terms: 8x + -3x = 5x -8 + 5x = -43 + 3x + -3x Combine like terms: 3x + -3x = 0 -8 + 5x = -43 + 0 -8 + 5x = -43 Add '8' to each side of the equation. -8 + 8 + 5x = -43 + 8 Combine like terms: -8 + 8 = 0 0 + 5x = -43 + 8 5x = -43 + 8 Combine like terms: -43 + 8 = -35 5x = -35 Divide each side by '5'. x = -7 Simplifying x = -7
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