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Simplifying -11x + -9x = -12(x + 2) + -1(1 + 3x) Combine like terms: -11x + -9x = -20x -20x = -12(x + 2) + -1(1 + 3x) Reorder the terms: -20x = -12(2 + x) + -1(1 + 3x) -20x = (2 * -12 + x * -12) + -1(1 + 3x) -20x = (-24 + -12x) + -1(1 + 3x) -20x = -24 + -12x + (1 * -1 + 3x * -1) -20x = -24 + -12x + (-1 + -3x) Reorder the terms: -20x = -24 + -1 + -12x + -3x Combine like terms: -24 + -1 = -25 -20x = -25 + -12x + -3x Combine like terms: -12x + -3x = -15x -20x = -25 + -15x Solving -20x = -25 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -20x + 15x = -25 + -15x + 15x Combine like terms: -20x + 15x = -5x -5x = -25 + -15x + 15x Combine like terms: -15x + 15x = 0 -5x = -25 + 0 -5x = -25 Divide each side by '-5'. x = 5 Simplifying x = 5
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