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Simplifying 12x + -4x + -11 = 2x + 1 Reorder the terms: -11 + 12x + -4x = 2x + 1 Combine like terms: 12x + -4x = 8x -11 + 8x = 2x + 1 Reorder the terms: -11 + 8x = 1 + 2x Solving -11 + 8x = 1 + 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. -11 + 8x + -2x = 1 + 2x + -2x Combine like terms: 8x + -2x = 6x -11 + 6x = 1 + 2x + -2x Combine like terms: 2x + -2x = 0 -11 + 6x = 1 + 0 -11 + 6x = 1 Add '11' to each side of the equation. -11 + 11 + 6x = 1 + 11 Combine like terms: -11 + 11 = 0 0 + 6x = 1 + 11 6x = 1 + 11 Combine like terms: 1 + 11 = 12 6x = 12 Divide each side by '6'. x = 2 Simplifying x = 2
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