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Simplifying 5(x + -1) = -3x + 43 Reorder the terms: 5(-1 + x) = -3x + 43 (-1 * 5 + x * 5) = -3x + 43 (-5 + 5x) = -3x + 43 Reorder the terms: -5 + 5x = 43 + -3x Solving -5 + 5x = 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. -5 + 5x + 3x = 43 + -3x + 3x Combine like terms: 5x + 3x = 8x -5 + 8x = 43 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 8x = 43 + 0 -5 + 8x = 43 Add '5' to each side of the equation. -5 + 5 + 8x = 43 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 43 + 5 8x = 43 + 5 Combine like terms: 43 + 5 = 48 8x = 48 Divide each side by '8'. x = 6 Simplifying x = 6
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