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Simplifying 2x + 1 = -2(2x + 5) Reorder the terms: 1 + 2x = -2(2x + 5) Reorder the terms: 1 + 2x = -2(5 + 2x) 1 + 2x = (5 * -2 + 2x * -2) 1 + 2x = (-10 + -4x) Solving 1 + 2x = -10 + -4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4x' to each side of the equation. 1 + 2x + 4x = -10 + -4x + 4x Combine like terms: 2x + 4x = 6x 1 + 6x = -10 + -4x + 4x Combine like terms: -4x + 4x = 0 1 + 6x = -10 + 0 1 + 6x = -10 Add '-1' to each side of the equation. 1 + -1 + 6x = -10 + -1 Combine like terms: 1 + -1 = 0 0 + 6x = -10 + -1 6x = -10 + -1 Combine like terms: -10 + -1 = -11 6x = -11 Divide each side by '6'. x = -1.833333333 Simplifying x = -1.833333333
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