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Simplifying -11 + -10x + 3x + 2 = 20 + -2x + 1 Reorder the terms: -11 + 2 + -10x + 3x = 20 + -2x + 1 Combine like terms: -11 + 2 = -9 -9 + -10x + 3x = 20 + -2x + 1 Combine like terms: -10x + 3x = -7x -9 + -7x = 20 + -2x + 1 Reorder the terms: -9 + -7x = 20 + 1 + -2x Combine like terms: 20 + 1 = 21 -9 + -7x = 21 + -2x Solving -9 + -7x = 21 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. -9 + -7x + 2x = 21 + -2x + 2x Combine like terms: -7x + 2x = -5x -9 + -5x = 21 + -2x + 2x Combine like terms: -2x + 2x = 0 -9 + -5x = 21 + 0 -9 + -5x = 21 Add '9' to each side of the equation. -9 + 9 + -5x = 21 + 9 Combine like terms: -9 + 9 = 0 0 + -5x = 21 + 9 -5x = 21 + 9 Combine like terms: 21 + 9 = 30 -5x = 30 Divide each side by '-5'. x = -6 Simplifying x = -6
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