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Simplifying 2x + -5 + 7x = 5 + 3x + 10 Reorder the terms: -5 + 2x + 7x = 5 + 3x + 10 Combine like terms: 2x + 7x = 9x -5 + 9x = 5 + 3x + 10 Reorder the terms: -5 + 9x = 5 + 10 + 3x Combine like terms: 5 + 10 = 15 -5 + 9x = 15 + 3x Solving -5 + 9x = 15 + 3x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. -5 + 9x + -3x = 15 + 3x + -3x Combine like terms: 9x + -3x = 6x -5 + 6x = 15 + 3x + -3x Combine like terms: 3x + -3x = 0 -5 + 6x = 15 + 0 -5 + 6x = 15 Add '5' to each side of the equation. -5 + 5 + 6x = 15 + 5 Combine like terms: -5 + 5 = 0 0 + 6x = 15 + 5 6x = 15 + 5 Combine like terms: 15 + 5 = 20 6x = 20 Divide each side by '6'. x = 3.333333333 Simplifying x = 3.333333333
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