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Simplifying 9x + -5 = -3(x + 6) + -11 Reorder the terms: -5 + 9x = -3(x + 6) + -11 Reorder the terms: -5 + 9x = -3(6 + x) + -11 -5 + 9x = (6 * -3 + x * -3) + -11 -5 + 9x = (-18 + -3x) + -11 Reorder the terms: -5 + 9x = -18 + -11 + -3x Combine like terms: -18 + -11 = -29 -5 + 9x = -29 + -3x Solving -5 + 9x = -29 + -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 + 9x + 3x = -29 + -3x + 3x Combine like terms: 9x + 3x = 12x -5 + 12x = -29 + -3x + 3x Combine like terms: -3x + 3x = 0 -5 + 12x = -29 + 0 -5 + 12x = -29 Add '5' to each side of the equation. -5 + 5 + 12x = -29 + 5 Combine like terms: -5 + 5 = 0 0 + 12x = -29 + 5 12x = -29 + 5 Combine like terms: -29 + 5 = -24 12x = -24 Divide each side by '12'. x = -2 Simplifying x = -2
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