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Simplifying 2(3x + -2) + 2(3x + -2) = 32 Reorder the terms: 2(-2 + 3x) + 2(3x + -2) = 32 (-2 * 2 + 3x * 2) + 2(3x + -2) = 32 (-4 + 6x) + 2(3x + -2) = 32 Reorder the terms: -4 + 6x + 2(-2 + 3x) = 32 -4 + 6x + (-2 * 2 + 3x * 2) = 32 -4 + 6x + (-4 + 6x) = 32 Reorder the terms: -4 + -4 + 6x + 6x = 32 Combine like terms: -4 + -4 = -8 -8 + 6x + 6x = 32 Combine like terms: 6x + 6x = 12x -8 + 12x = 32 Solving -8 + 12x = 32 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 + 12x = 32 + 8 Combine like terms: -8 + 8 = 0 0 + 12x = 32 + 8 12x = 32 + 8 Combine like terms: 32 + 8 = 40 12x = 40 Divide each side by '12'. x = 3.333333333 Simplifying x = 3.333333333
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