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Simplifying 2(2x + -12) = 3 + 2x + 24 + -2x Reorder the terms: 2(-12 + 2x) = 3 + 2x + 24 + -2x (-12 * 2 + 2x * 2) = 3 + 2x + 24 + -2x (-24 + 4x) = 3 + 2x + 24 + -2x Reorder the terms: -24 + 4x = 3 + 24 + 2x + -2x Combine like terms: 3 + 24 = 27 -24 + 4x = 27 + 2x + -2x Combine like terms: 2x + -2x = 0 -24 + 4x = 27 + 0 -24 + 4x = 27 Solving -24 + 4x = 27 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '24' to each side of the equation. -24 + 24 + 4x = 27 + 24 Combine like terms: -24 + 24 = 0 0 + 4x = 27 + 24 4x = 27 + 24 Combine like terms: 27 + 24 = 51 4x = 51 Divide each side by '4'. x = 12.75 Simplifying x = 12.75
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