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Simplifying -2(3 + -3x) + 2(3x + -3) = 48 (3 * -2 + -3x * -2) + 2(3x + -3) = 48 (-6 + 6x) + 2(3x + -3) = 48 Reorder the terms: -6 + 6x + 2(-3 + 3x) = 48 -6 + 6x + (-3 * 2 + 3x * 2) = 48 -6 + 6x + (-6 + 6x) = 48 Reorder the terms: -6 + -6 + 6x + 6x = 48 Combine like terms: -6 + -6 = -12 -12 + 6x + 6x = 48 Combine like terms: 6x + 6x = 12x -12 + 12x = 48 Solving -12 + 12x = 48 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 12x = 48 + 12 Combine like terms: -12 + 12 = 0 0 + 12x = 48 + 12 12x = 48 + 12 Combine like terms: 48 + 12 = 60 12x = 60 Divide each side by '12'. x = 5 Simplifying x = 5
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