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Simplifying 11x + -21 = 2x + 1 + 2x + 1 + 6x + -12 Reorder the terms: -21 + 11x = 2x + 1 + 2x + 1 + 6x + -12 Reorder the terms: -21 + 11x = 1 + 1 + -12 + 2x + 2x + 6x Combine like terms: 1 + 1 = 2 -21 + 11x = 2 + -12 + 2x + 2x + 6x Combine like terms: 2 + -12 = -10 -21 + 11x = -10 + 2x + 2x + 6x Combine like terms: 2x + 2x = 4x -21 + 11x = -10 + 4x + 6x Combine like terms: 4x + 6x = 10x -21 + 11x = -10 + 10x Solving -21 + 11x = -10 + 10x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-10x' to each side of the equation. -21 + 11x + -10x = -10 + 10x + -10x Combine like terms: 11x + -10x = 1x -21 + 1x = -10 + 10x + -10x Combine like terms: 10x + -10x = 0 -21 + 1x = -10 + 0 -21 + 1x = -10 Add '21' to each side of the equation. -21 + 21 + 1x = -10 + 21 Combine like terms: -21 + 21 = 0 0 + 1x = -10 + 21 1x = -10 + 21 Combine like terms: -10 + 21 = 11 1x = 11 Divide each side by '1'. x = 11 Simplifying x = 11
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