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Simplifying 3x + 2 = 10 + -11(x + -1) Reorder the terms: 2 + 3x = 10 + -11(x + -1) Reorder the terms: 2 + 3x = 10 + -11(-1 + x) 2 + 3x = 10 + (-1 * -11 + x * -11) 2 + 3x = 10 + (11 + -11x) Combine like terms: 10 + 11 = 21 2 + 3x = 21 + -11x Solving 2 + 3x = 21 + -11x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '11x' to each side of the equation. 2 + 3x + 11x = 21 + -11x + 11x Combine like terms: 3x + 11x = 14x 2 + 14x = 21 + -11x + 11x Combine like terms: -11x + 11x = 0 2 + 14x = 21 + 0 2 + 14x = 21 Add '-2' to each side of the equation. 2 + -2 + 14x = 21 + -2 Combine like terms: 2 + -2 = 0 0 + 14x = 21 + -2 14x = 21 + -2 Combine like terms: 21 + -2 = 19 14x = 19 Divide each side by '14'. x = 1.357142857 Simplifying x = 1.357142857
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