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Simplifying 10 + 2x + -1 + 7x = 3x + 1 Reorder the terms: 10 + -1 + 2x + 7x = 3x + 1 Combine like terms: 10 + -1 = 9 9 + 2x + 7x = 3x + 1 Combine like terms: 2x + 7x = 9x 9 + 9x = 3x + 1 Reorder the terms: 9 + 9x = 1 + 3x Solving 9 + 9x = 1 + 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. 9 + 9x + -3x = 1 + 3x + -3x Combine like terms: 9x + -3x = 6x 9 + 6x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 9 + 6x = 1 + 0 9 + 6x = 1 Add '-9' to each side of the equation. 9 + -9 + 6x = 1 + -9 Combine like terms: 9 + -9 = 0 0 + 6x = 1 + -9 6x = 1 + -9 Combine like terms: 1 + -9 = -8 6x = -8 Divide each side by '6'. x = -1.333333333 Simplifying x = -1.333333333
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