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Simplifying (3x + -1) * 2 + -1(2x + 3) * 2 = 0 Reorder the terms: (-1 + 3x) * 2 + -1(2x + 3) * 2 = 0 Reorder the terms for easier multiplication: 2(-1 + 3x) + -1(2x + 3) * 2 = 0 (-1 * 2 + 3x * 2) + -1(2x + 3) * 2 = 0 (-2 + 6x) + -1(2x + 3) * 2 = 0 Reorder the terms: -2 + 6x + -1(3 + 2x) * 2 = 0 Reorder the terms for easier multiplication: -2 + 6x + -1 * 2(3 + 2x) = 0 Multiply -1 * 2 -2 + 6x + -2(3 + 2x) = 0 -2 + 6x + (3 * -2 + 2x * -2) = 0 -2 + 6x + (-6 + -4x) = 0 Reorder the terms: -2 + -6 + 6x + -4x = 0 Combine like terms: -2 + -6 = -8 -8 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x -8 + 2x = 0 Solving -8 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8' to each side of the equation. -8 + 8 + 2x = 0 + 8 Combine like terms: -8 + 8 = 0 0 + 2x = 0 + 8 2x = 0 + 8 Combine like terms: 0 + 8 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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