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Simplifying 2(2x + 1) + 7 = -4x + -47 Reorder the terms: 2(1 + 2x) + 7 = -4x + -47 (1 * 2 + 2x * 2) + 7 = -4x + -47 (2 + 4x) + 7 = -4x + -47 Reorder the terms: 2 + 7 + 4x = -4x + -47 Combine like terms: 2 + 7 = 9 9 + 4x = -4x + -47 Reorder the terms: 9 + 4x = -47 + -4x Solving 9 + 4x = -47 + -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. 9 + 4x + 4x = -47 + -4x + 4x Combine like terms: 4x + 4x = 8x 9 + 8x = -47 + -4x + 4x Combine like terms: -4x + 4x = 0 9 + 8x = -47 + 0 9 + 8x = -47 Add '-9' to each side of the equation. 9 + -9 + 8x = -47 + -9 Combine like terms: 9 + -9 = 0 0 + 8x = -47 + -9 8x = -47 + -9 Combine like terms: -47 + -9 = -56 8x = -56 Divide each side by '8'. x = -7 Simplifying x = -7
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