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Simplifying 5(-3x + -1) + -1(6 + -5x) = 9 Reorder the terms: 5(-1 + -3x) + -1(6 + -5x) = 9 (-1 * 5 + -3x * 5) + -1(6 + -5x) = 9 (-5 + -15x) + -1(6 + -5x) = 9 -5 + -15x + (6 * -1 + -5x * -1) = 9 -5 + -15x + (-6 + 5x) = 9 Reorder the terms: -5 + -6 + -15x + 5x = 9 Combine like terms: -5 + -6 = -11 -11 + -15x + 5x = 9 Combine like terms: -15x + 5x = -10x -11 + -10x = 9 Solving -11 + -10x = 9 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11' to each side of the equation. -11 + 11 + -10x = 9 + 11 Combine like terms: -11 + 11 = 0 0 + -10x = 9 + 11 -10x = 9 + 11 Combine like terms: 9 + 11 = 20 -10x = 20 Divide each side by '-10'. x = -2 Simplifying x = -2
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