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Simplifying 10 + 2(x + 1) + 7x = 3x + 1 Reorder the terms: 10 + 2(1 + x) + 7x = 3x + 1 10 + (1 * 2 + x * 2) + 7x = 3x + 1 10 + (2 + 2x) + 7x = 3x + 1 Combine like terms: 10 + 2 = 12 12 + 2x + 7x = 3x + 1 Combine like terms: 2x + 7x = 9x 12 + 9x = 3x + 1 Reorder the terms: 12 + 9x = 1 + 3x Solving 12 + 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. 12 + 9x + -3x = 1 + 3x + -3x Combine like terms: 9x + -3x = 6x 12 + 6x = 1 + 3x + -3x Combine like terms: 3x + -3x = 0 12 + 6x = 1 + 0 12 + 6x = 1 Add '-12' to each side of the equation. 12 + -12 + 6x = 1 + -12 Combine like terms: 12 + -12 = 0 0 + 6x = 1 + -12 6x = 1 + -12 Combine like terms: 1 + -12 = -11 6x = -11 Divide each side by '6'. x = -1.833333333 Simplifying x = -1.833333333
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