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Simplifying 2(x + 12) + 2(x + -3) = 64 Reorder the terms: 2(12 + x) + 2(x + -3) = 64 (12 * 2 + x * 2) + 2(x + -3) = 64 (24 + 2x) + 2(x + -3) = 64 Reorder the terms: 24 + 2x + 2(-3 + x) = 64 24 + 2x + (-3 * 2 + x * 2) = 64 24 + 2x + (-6 + 2x) = 64 Reorder the terms: 24 + -6 + 2x + 2x = 64 Combine like terms: 24 + -6 = 18 18 + 2x + 2x = 64 Combine like terms: 2x + 2x = 4x 18 + 4x = 64 Solving 18 + 4x = 64 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-18' to each side of the equation. 18 + -18 + 4x = 64 + -18 Combine like terms: 18 + -18 = 0 0 + 4x = 64 + -18 4x = 64 + -18 Combine like terms: 64 + -18 = 46 4x = 46 Divide each side by '4'. x = 11.5 Simplifying x = 11.5
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