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Simplifying 2(3x + 2) = 4x + -6 Reorder the terms: 2(2 + 3x) = 4x + -6 (2 * 2 + 3x * 2) = 4x + -6 (4 + 6x) = 4x + -6 Reorder the terms: 4 + 6x = -6 + 4x Solving 4 + 6x = -6 + 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. 4 + 6x + -4x = -6 + 4x + -4x Combine like terms: 6x + -4x = 2x 4 + 2x = -6 + 4x + -4x Combine like terms: 4x + -4x = 0 4 + 2x = -6 + 0 4 + 2x = -6 Add '-4' to each side of the equation. 4 + -4 + 2x = -6 + -4 Combine like terms: 4 + -4 = 0 0 + 2x = -6 + -4 2x = -6 + -4 Combine like terms: -6 + -4 = -10 2x = -10 Divide each side by '2'. x = -5 Simplifying x = -5
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