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Simplifying 7x + 8 + -1x = 5x + 10 + -12x Reorder the terms: 8 + 7x + -1x = 5x + 10 + -12x Combine like terms: 7x + -1x = 6x 8 + 6x = 5x + 10 + -12x Reorder the terms: 8 + 6x = 10 + 5x + -12x Combine like terms: 5x + -12x = -7x 8 + 6x = 10 + -7x Solving 8 + 6x = 10 + -7x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '7x' to each side of the equation. 8 + 6x + 7x = 10 + -7x + 7x Combine like terms: 6x + 7x = 13x 8 + 13x = 10 + -7x + 7x Combine like terms: -7x + 7x = 0 8 + 13x = 10 + 0 8 + 13x = 10 Add '-8' to each side of the equation. 8 + -8 + 13x = 10 + -8 Combine like terms: 8 + -8 = 0 0 + 13x = 10 + -8 13x = 10 + -8 Combine like terms: 10 + -8 = 2 13x = 2 Divide each side by '13'. x = 0.1538461538 Simplifying x = 0.1538461538
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