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Simplifying 5(x + -1) = 3(9 + -1x) Reorder the terms: 5(-1 + x) = 3(9 + -1x) (-1 * 5 + x * 5) = 3(9 + -1x) (-5 + 5x) = 3(9 + -1x) -5 + 5x = (9 * 3 + -1x * 3) -5 + 5x = (27 + -3x) Solving -5 + 5x = 27 + -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 = 27 + -3x + 3x Combine like terms: 5x + 3x = 8x -5 + 8x = 27 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 8x = 27 + 0 -5 + 8x = 27 Add '5' to each side of the equation. -5 + 5 + 8x = 27 + 5 Combine like terms: -5 + 5 = 0 0 + 8x = 27 + 5 8x = 27 + 5 Combine like terms: 27 + 5 = 32 8x = 32 Divide each side by '8'. x = 4 Simplifying x = 4
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