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Simplifying 2(3x + -2) * 2 = 6x + -4 Reorder the terms: 2(-2 + 3x) * 2 = 6x + -4 Reorder the terms for easier multiplication: 2 * 2(-2 + 3x) = 6x + -4 Multiply 2 * 2 4(-2 + 3x) = 6x + -4 (-2 * 4 + 3x * 4) = 6x + -4 (-8 + 12x) = 6x + -4 Reorder the terms: -8 + 12x = -4 + 6x Solving -8 + 12x = -4 + 6x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6x' to each side of the equation. -8 + 12x + -6x = -4 + 6x + -6x Combine like terms: 12x + -6x = 6x -8 + 6x = -4 + 6x + -6x Combine like terms: 6x + -6x = 0 -8 + 6x = -4 + 0 -8 + 6x = -4 Add '8' to each side of the equation. -8 + 8 + 6x = -4 + 8 Combine like terms: -8 + 8 = 0 0 + 6x = -4 + 8 6x = -4 + 8 Combine like terms: -4 + 8 = 4 6x = 4 Divide each side by '6'. x = 0.6666666667 Simplifying x = 0.6666666667
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