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Simplifying 2x + 7x + -10 = 12 + -15x Reorder the terms: -10 + 2x + 7x = 12 + -15x Combine like terms: 2x + 7x = 9x -10 + 9x = 12 + -15x Solving -10 + 9x = 12 + -15x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '15x' to each side of the equation. -10 + 9x + 15x = 12 + -15x + 15x Combine like terms: 9x + 15x = 24x -10 + 24x = 12 + -15x + 15x Combine like terms: -15x + 15x = 0 -10 + 24x = 12 + 0 -10 + 24x = 12 Add '10' to each side of the equation. -10 + 10 + 24x = 12 + 10 Combine like terms: -10 + 10 = 0 0 + 24x = 12 + 10 24x = 12 + 10 Combine like terms: 12 + 10 = 22 24x = 22 Divide each side by '24'. x = 0.9166666667 Simplifying x = 0.9166666667
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