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Simplifying 2(2x + -3) = 12 + -12x Reorder the terms: 2(-3 + 2x) = 12 + -12x (-3 * 2 + 2x * 2) = 12 + -12x (-6 + 4x) = 12 + -12x Solving -6 + 4x = 12 + -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. -6 + 4x + 12x = 12 + -12x + 12x Combine like terms: 4x + 12x = 16x -6 + 16x = 12 + -12x + 12x Combine like terms: -12x + 12x = 0 -6 + 16x = 12 + 0 -6 + 16x = 12 Add '6' to each side of the equation. -6 + 6 + 16x = 12 + 6 Combine like terms: -6 + 6 = 0 0 + 16x = 12 + 6 16x = 12 + 6 Combine like terms: 12 + 6 = 18 16x = 18 Divide each side by '16'. x = 1.125 Simplifying x = 1.125
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