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Simplifying 13x + -102 = 5x + -6 Reorder the terms: -102 + 13x = 5x + -6 Reorder the terms: -102 + 13x = -6 + 5x Solving -102 + 13x = -6 + 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. -102 + 13x + -5x = -6 + 5x + -5x Combine like terms: 13x + -5x = 8x -102 + 8x = -6 + 5x + -5x Combine like terms: 5x + -5x = 0 -102 + 8x = -6 + 0 -102 + 8x = -6 Add '102' to each side of the equation. -102 + 102 + 8x = -6 + 102 Combine like terms: -102 + 102 = 0 0 + 8x = -6 + 102 8x = -6 + 102 Combine like terms: -6 + 102 = 96 8x = 96 Divide each side by '8'. x = 12 Simplifying x = 12
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