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Simplifying (x + 1) * 2 + -1(2x + 3) * 2 = 0 Reorder the terms: (1 + x) * 2 + -1(2x + 3) * 2 = 0 Reorder the terms for easier multiplication: 2(1 + x) + -1(2x + 3) * 2 = 0 (1 * 2 + x * 2) + -1(2x + 3) * 2 = 0 (2 + 2x) + -1(2x + 3) * 2 = 0 Reorder the terms: 2 + 2x + -1(3 + 2x) * 2 = 0 Reorder the terms for easier multiplication: 2 + 2x + -1 * 2(3 + 2x) = 0 Multiply -1 * 2 2 + 2x + -2(3 + 2x) = 0 2 + 2x + (3 * -2 + 2x * -2) = 0 2 + 2x + (-6 + -4x) = 0 Reorder the terms: 2 + -6 + 2x + -4x = 0 Combine like terms: 2 + -6 = -4 -4 + 2x + -4x = 0 Combine like terms: 2x + -4x = -2x -4 + -2x = 0 Solving -4 + -2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + -2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + -2x = 0 + 4 -2x = 0 + 4 Combine like terms: 0 + 4 = 4 -2x = 4 Divide each side by '-2'. x = -2 Simplifying x = -2
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