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Simplifying 10x + 5x + 7 + -8 = 12 + 3 + 2x Reorder the terms: 7 + -8 + 10x + 5x = 12 + 3 + 2x Combine like terms: 7 + -8 = -1 -1 + 10x + 5x = 12 + 3 + 2x Combine like terms: 10x + 5x = 15x -1 + 15x = 12 + 3 + 2x Combine like terms: 12 + 3 = 15 -1 + 15x = 15 + 2x Solving -1 + 15x = 15 + 2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. -1 + 15x + -2x = 15 + 2x + -2x Combine like terms: 15x + -2x = 13x -1 + 13x = 15 + 2x + -2x Combine like terms: 2x + -2x = 0 -1 + 13x = 15 + 0 -1 + 13x = 15 Add '1' to each side of the equation. -1 + 1 + 13x = 15 + 1 Combine like terms: -1 + 1 = 0 0 + 13x = 15 + 1 13x = 15 + 1 Combine like terms: 15 + 1 = 16 13x = 16 Divide each side by '13'. x = 1.230769231 Simplifying x = 1.230769231
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