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Simplifying (2x + 1) * 2 + 2x = 4x + -1 Reorder the terms: (1 + 2x) * 2 + 2x = 4x + -1 Reorder the terms for easier multiplication: 2(1 + 2x) + 2x = 4x + -1 (1 * 2 + 2x * 2) + 2x = 4x + -1 (2 + 4x) + 2x = 4x + -1 Combine like terms: 4x + 2x = 6x 2 + 6x = 4x + -1 Reorder the terms: 2 + 6x = -1 + 4x Solving 2 + 6x = -1 + 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. 2 + 6x + -4x = -1 + 4x + -4x Combine like terms: 6x + -4x = 2x 2 + 2x = -1 + 4x + -4x Combine like terms: 4x + -4x = 0 2 + 2x = -1 + 0 2 + 2x = -1 Add '-2' to each side of the equation. 2 + -2 + 2x = -1 + -2 Combine like terms: 2 + -2 = 0 0 + 2x = -1 + -2 2x = -1 + -2 Combine like terms: -1 + -2 = -3 2x = -3 Divide each side by '2'. x = -1.5 Simplifying x = -1.5
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