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Simplifying 6x + 8 + -3x = 12 + -13x + -14 Reorder the terms: 8 + 6x + -3x = 12 + -13x + -14 Combine like terms: 6x + -3x = 3x 8 + 3x = 12 + -13x + -14 Reorder the terms: 8 + 3x = 12 + -14 + -13x Combine like terms: 12 + -14 = -2 8 + 3x = -2 + -13x Solving 8 + 3x = -2 + -13x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '13x' to each side of the equation. 8 + 3x + 13x = -2 + -13x + 13x Combine like terms: 3x + 13x = 16x 8 + 16x = -2 + -13x + 13x Combine like terms: -13x + 13x = 0 8 + 16x = -2 + 0 8 + 16x = -2 Add '-8' to each side of the equation. 8 + -8 + 16x = -2 + -8 Combine like terms: 8 + -8 = 0 0 + 16x = -2 + -8 16x = -2 + -8 Combine like terms: -2 + -8 = -10 16x = -10 Divide each side by '16'. x = -0.625 Simplifying x = -0.625
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