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Simplifying 8x + -5 + 6x + 2 = 8x + 12 + -4x + 11 Reorder the terms: -5 + 2 + 8x + 6x = 8x + 12 + -4x + 11 Combine like terms: -5 + 2 = -3 -3 + 8x + 6x = 8x + 12 + -4x + 11 Combine like terms: 8x + 6x = 14x -3 + 14x = 8x + 12 + -4x + 11 Reorder the terms: -3 + 14x = 12 + 11 + 8x + -4x Combine like terms: 12 + 11 = 23 -3 + 14x = 23 + 8x + -4x Combine like terms: 8x + -4x = 4x -3 + 14x = 23 + 4x Solving -3 + 14x = 23 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. -3 + 14x + -4x = 23 + 4x + -4x Combine like terms: 14x + -4x = 10x -3 + 10x = 23 + 4x + -4x Combine like terms: 4x + -4x = 0 -3 + 10x = 23 + 0 -3 + 10x = 23 Add '3' to each side of the equation. -3 + 3 + 10x = 23 + 3 Combine like terms: -3 + 3 = 0 0 + 10x = 23 + 3 10x = 23 + 3 Combine like terms: 23 + 3 = 26 10x = 26 Divide each side by '10'. x = 2.6 Simplifying x = 2.6
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