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Simplifying 6x + -12 + 8 = 5x + -11 + 6 + -2 Reorder the terms: -12 + 8 + 6x = 5x + -11 + 6 + -2 Combine like terms: -12 + 8 = -4 -4 + 6x = 5x + -11 + 6 + -2 Reorder the terms: -4 + 6x = -11 + 6 + -2 + 5x Combine like terms: -11 + 6 = -5 -4 + 6x = -5 + -2 + 5x Combine like terms: -5 + -2 = -7 -4 + 6x = -7 + 5x Solving -4 + 6x = -7 + 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. -4 + 6x + -5x = -7 + 5x + -5x Combine like terms: 6x + -5x = 1x -4 + 1x = -7 + 5x + -5x Combine like terms: 5x + -5x = 0 -4 + 1x = -7 + 0 -4 + 1x = -7 Add '4' to each side of the equation. -4 + 4 + 1x = -7 + 4 Combine like terms: -4 + 4 = 0 0 + 1x = -7 + 4 1x = -7 + 4 Combine like terms: -7 + 4 = -3 1x = -3 Divide each side by '1'. x = -3 Simplifying x = -3
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