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Simplifying 12 = -4(x + 2) + 2(6 + 4x) Reorder the terms: 12 = -4(2 + x) + 2(6 + 4x) 12 = (2 * -4 + x * -4) + 2(6 + 4x) 12 = (-8 + -4x) + 2(6 + 4x) 12 = -8 + -4x + (6 * 2 + 4x * 2) 12 = -8 + -4x + (12 + 8x) Reorder the terms: 12 = -8 + 12 + -4x + 8x Combine like terms: -8 + 12 = 4 12 = 4 + -4x + 8x Combine like terms: -4x + 8x = 4x 12 = 4 + 4x Solving 12 = 4 + 4x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-4x' to each side of the equation. 12 + -4x = 4 + 4x + -4x Combine like terms: 4x + -4x = 0 12 + -4x = 4 + 0 12 + -4x = 4 Add '-12' to each side of the equation. 12 + -12 + -4x = 4 + -12 Combine like terms: 12 + -12 = 0 0 + -4x = 4 + -12 -4x = 4 + -12 Combine like terms: 4 + -12 = -8 -4x = -8 Divide each side by '-4'. x = 2 Simplifying x = 2
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