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Simplifying 2(5x + 11) + 2 = 3(x + -1) Reorder the terms: 2(11 + 5x) + 2 = 3(x + -1) (11 * 2 + 5x * 2) + 2 = 3(x + -1) (22 + 10x) + 2 = 3(x + -1) Reorder the terms: 22 + 2 + 10x = 3(x + -1) Combine like terms: 22 + 2 = 24 24 + 10x = 3(x + -1) Reorder the terms: 24 + 10x = 3(-1 + x) 24 + 10x = (-1 * 3 + x * 3) 24 + 10x = (-3 + 3x) Solving 24 + 10x = -3 + 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. 24 + 10x + -3x = -3 + 3x + -3x Combine like terms: 10x + -3x = 7x 24 + 7x = -3 + 3x + -3x Combine like terms: 3x + -3x = 0 24 + 7x = -3 + 0 24 + 7x = -3 Add '-24' to each side of the equation. 24 + -24 + 7x = -3 + -24 Combine like terms: 24 + -24 = 0 0 + 7x = -3 + -24 7x = -3 + -24 Combine like terms: -3 + -24 = -27 7x = -27 Divide each side by '7'. x = -3.857142857 Simplifying x = -3.857142857
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