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Simplifying 6x + 8 + -5x = 11 + -12x + -13 Reorder the terms: 8 + 6x + -5x = 11 + -12x + -13 Combine like terms: 6x + -5x = 1x 8 + 1x = 11 + -12x + -13 Reorder the terms: 8 + 1x = 11 + -13 + -12x Combine like terms: 11 + -13 = -2 8 + 1x = -2 + -12x Solving 8 + 1x = -2 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 8 + 1x + 12x = -2 + -12x + 12x Combine like terms: 1x + 12x = 13x 8 + 13x = -2 + -12x + 12x Combine like terms: -12x + 12x = 0 8 + 13x = -2 + 0 8 + 13x = -2 Add '-8' to each side of the equation. 8 + -8 + 13x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = -2 + -8 13x = -2 + -8 Combine like terms: -2 + -8 = -10 13x = -10 Divide each side by '13'. x = -0.7692307692 Simplifying x = -0.7692307692
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