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Simplifying 2(2x + 1) + 9 = -2x + -43 Reorder the terms: 2(1 + 2x) + 9 = -2x + -43 (1 * 2 + 2x * 2) + 9 = -2x + -43 (2 + 4x) + 9 = -2x + -43 Reorder the terms: 2 + 9 + 4x = -2x + -43 Combine like terms: 2 + 9 = 11 11 + 4x = -2x + -43 Reorder the terms: 11 + 4x = -43 + -2x Solving 11 + 4x = -43 + -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. 11 + 4x + 2x = -43 + -2x + 2x Combine like terms: 4x + 2x = 6x 11 + 6x = -43 + -2x + 2x Combine like terms: -2x + 2x = 0 11 + 6x = -43 + 0 11 + 6x = -43 Add '-11' to each side of the equation. 11 + -11 + 6x = -43 + -11 Combine like terms: 11 + -11 = 0 0 + 6x = -43 + -11 6x = -43 + -11 Combine like terms: -43 + -11 = -54 6x = -54 Divide each side by '6'. x = -9 Simplifying x = -9
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