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Simplifying 2x + 4(x + 4) + -2(x + 10) = 12 Reorder the terms: 2x + 4(4 + x) + -2(x + 10) = 12 2x + (4 * 4 + x * 4) + -2(x + 10) = 12 2x + (16 + 4x) + -2(x + 10) = 12 Reorder the terms: 2x + 16 + 4x + -2(10 + x) = 12 2x + 16 + 4x + (10 * -2 + x * -2) = 12 2x + 16 + 4x + (-20 + -2x) = 12 Reorder the terms: 16 + -20 + 2x + 4x + -2x = 12 Combine like terms: 16 + -20 = -4 -4 + 2x + 4x + -2x = 12 Combine like terms: 2x + 4x = 6x -4 + 6x + -2x = 12 Combine like terms: 6x + -2x = 4x -4 + 4x = 12 Solving -4 + 4x = 12 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 4 + 4x = 12 + 4 Combine like terms: -4 + 4 = 0 0 + 4x = 12 + 4 4x = 12 + 4 Combine like terms: 12 + 4 = 16 4x = 16 Divide each side by '4'. x = 4 Simplifying x = 4
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