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Simplifying 3 + -2(3x + -6) = 2(2 + -4x) Reorder the terms: 3 + -2(-6 + 3x) = 2(2 + -4x) 3 + (-6 * -2 + 3x * -2) = 2(2 + -4x) 3 + (12 + -6x) = 2(2 + -4x) Combine like terms: 3 + 12 = 15 15 + -6x = 2(2 + -4x) 15 + -6x = (2 * 2 + -4x * 2) 15 + -6x = (4 + -8x) Solving 15 + -6x = 4 + -8x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '8x' to each side of the equation. 15 + -6x + 8x = 4 + -8x + 8x Combine like terms: -6x + 8x = 2x 15 + 2x = 4 + -8x + 8x Combine like terms: -8x + 8x = 0 15 + 2x = 4 + 0 15 + 2x = 4 Add '-15' to each side of the equation. 15 + -15 + 2x = 4 + -15 Combine like terms: 15 + -15 = 0 0 + 2x = 4 + -15 2x = 4 + -15 Combine like terms: 4 + -15 = -11 2x = -11 Divide each side by '2'. x = -5.5 Simplifying x = -5.5
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