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Simplifying -11 = x + -2 + -2(3x + 2) Reorder the terms: -11 = x + -2 + -2(2 + 3x) -11 = x + -2 + (2 * -2 + 3x * -2) -11 = x + -2 + (-4 + -6x) Reorder the terms: -11 = -2 + -4 + x + -6x Combine like terms: -2 + -4 = -6 -11 = -6 + x + -6x Combine like terms: x + -6x = -5x -11 = -6 + -5x Solving -11 = -6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. -11 + 5x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 -11 + 5x = -6 + 0 -11 + 5x = -6 Add '11' to each side of the equation. -11 + 11 + 5x = -6 + 11 Combine like terms: -11 + 11 = 0 0 + 5x = -6 + 11 5x = -6 + 11 Combine like terms: -6 + 11 = 5 5x = 5 Divide each side by '5'. x = 1 Simplifying x = 1
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