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Simplifying 5(x + -1) + -6 = 3x + -9 Reorder the terms: 5(-1 + x) + -6 = 3x + -9 (-1 * 5 + x * 5) + -6 = 3x + -9 (-5 + 5x) + -6 = 3x + -9 Reorder the terms: -5 + -6 + 5x = 3x + -9 Combine like terms: -5 + -6 = -11 -11 + 5x = 3x + -9 Reorder the terms: -11 + 5x = -9 + 3x Solving -11 + 5x = -9 + 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. -11 + 5x + -3x = -9 + 3x + -3x Combine like terms: 5x + -3x = 2x -11 + 2x = -9 + 3x + -3x Combine like terms: 3x + -3x = 0 -11 + 2x = -9 + 0 -11 + 2x = -9 Add '11' to each side of the equation. -11 + 11 + 2x = -9 + 11 Combine like terms: -11 + 11 = 0 0 + 2x = -9 + 11 2x = -9 + 11 Combine like terms: -9 + 11 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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