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Simplifying (2(x + 5) + -3) + 2 = -6 Reorder the terms: (2(5 + x) + -3) + 2 = -6 ((5 * 2 + x * 2) + -3) + 2 = -6 ((10 + 2x) + -3) + 2 = -6 Reorder the terms: (10 + -3 + 2x) + 2 = -6 Combine like terms: 10 + -3 = 7 (7 + 2x) + 2 = -6 Remove parenthesis around (7 + 2x) 7 + 2x + 2 = -6 Reorder the terms: 7 + 2 + 2x = -6 Combine like terms: 7 + 2 = 9 9 + 2x = -6 Solving 9 + 2x = -6 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9' to each side of the equation. 9 + -9 + 2x = -6 + -9 Combine like terms: 9 + -9 = 0 0 + 2x = -6 + -9 2x = -6 + -9 Combine like terms: -6 + -9 = -15 2x = -15 Divide each side by '2'. x = -7.5 Simplifying x = -7.5
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