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Simplifying 3(4x + 2) + -2(3x + -1) = 2(x + -3) + -2(x + -6) Reorder the terms: 3(2 + 4x) + -2(3x + -1) = 2(x + -3) + -2(x + -6) (2 * 3 + 4x * 3) + -2(3x + -1) = 2(x + -3) + -2(x + -6) (6 + 12x) + -2(3x + -1) = 2(x + -3) + -2(x + -6) Reorder the terms: 6 + 12x + -2(-1 + 3x) = 2(x + -3) + -2(x + -6) 6 + 12x + (-1 * -2 + 3x * -2) = 2(x + -3) + -2(x + -6) 6 + 12x + (2 + -6x) = 2(x + -3) + -2(x + -6) Reorder the terms: 6 + 2 + 12x + -6x = 2(x + -3) + -2(x + -6) Combine like terms: 6 + 2 = 8 8 + 12x + -6x = 2(x + -3) + -2(x + -6) Combine like terms: 12x + -6x = 6x 8 + 6x = 2(x + -3) + -2(x + -6) Reorder the terms: 8 + 6x = 2(-3 + x) + -2(x + -6) 8 + 6x = (-3 * 2 + x * 2) + -2(x + -6) 8 + 6x = (-6 + 2x) + -2(x + -6) Reorder the terms: 8 + 6x = -6 + 2x + -2(-6 + x) 8 + 6x = -6 + 2x + (-6 * -2 + x * -2) 8 + 6x = -6 + 2x + (12 + -2x) Reorder the terms: 8 + 6x = -6 + 12 + 2x + -2x Combine like terms: -6 + 12 = 6 8 + 6x = 6 + 2x + -2x Combine like terms: 2x + -2x = 0 8 + 6x = 6 + 0 8 + 6x = 6 Solving 8 + 6x = 6 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 + 6x = 6 + -8 Combine like terms: 8 + -8 = 0 0 + 6x = 6 + -8 6x = 6 + -8 Combine like terms: 6 + -8 = -2 6x = -2 Divide each side by '6'. x = -0.3333333333 Simplifying x = -0.3333333333
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