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Simplifying 12 = 2(x + 8) + -4x Reorder the terms: 12 = 2(8 + x) + -4x 12 = (8 * 2 + x * 2) + -4x 12 = (16 + 2x) + -4x Combine like terms: 2x + -4x = -2x 12 = 16 + -2x Solving 12 = 16 + -2x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2x' to each side of the equation. 12 + 2x = 16 + -2x + 2x Combine like terms: -2x + 2x = 0 12 + 2x = 16 + 0 12 + 2x = 16 Add '-12' to each side of the equation. 12 + -12 + 2x = 16 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = 16 + -12 2x = 16 + -12 Combine like terms: 16 + -12 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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