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Simplifying -15 + 37 = -2(x + 5) Combine like terms: -15 + 37 = 22 22 = -2(x + 5) Reorder the terms: 22 = -2(5 + x) 22 = (5 * -2 + x * -2) 22 = (-10 + -2x) Solving 22 = -10 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 22 + 2x = -10 + -2x + 2x Combine like terms: -2x + 2x = 0 22 + 2x = -10 + 0 22 + 2x = -10 Add '-22' to each side of the equation. 22 + -22 + 2x = -10 + -22 Combine like terms: 22 + -22 = 0 0 + 2x = -10 + -22 2x = -10 + -22 Combine like terms: -10 + -22 = -32 2x = -32 Divide each side by '2'. x = -16 Simplifying x = -16
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