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Simplifying 2(x + 2) + 2(x + -3) = 12 Reorder the terms: 2(2 + x) + 2(x + -3) = 12 (2 * 2 + x * 2) + 2(x + -3) = 12 (4 + 2x) + 2(x + -3) = 12 Reorder the terms: 4 + 2x + 2(-3 + x) = 12 4 + 2x + (-3 * 2 + x * 2) = 12 4 + 2x + (-6 + 2x) = 12 Reorder the terms: 4 + -6 + 2x + 2x = 12 Combine like terms: 4 + -6 = -2 -2 + 2x + 2x = 12 Combine like terms: 2x + 2x = 4x -2 + 4x = 12 Solving -2 + 4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 4x = 12 + 2 Combine like terms: -2 + 2 = 0 0 + 4x = 12 + 2 4x = 12 + 2 Combine like terms: 12 + 2 = 14 4x = 14 Divide each side by '4'. x = 3.5 Simplifying x = 3.5
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