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Simplifying 6(x + 2) + -1(4x + -4) = 0 Reorder the terms: 6(2 + x) + -1(4x + -4) = 0 (2 * 6 + x * 6) + -1(4x + -4) = 0 (12 + 6x) + -1(4x + -4) = 0 Reorder the terms: 12 + 6x + -1(-4 + 4x) = 0 12 + 6x + (-4 * -1 + 4x * -1) = 0 12 + 6x + (4 + -4x) = 0 Reorder the terms: 12 + 4 + 6x + -4x = 0 Combine like terms: 12 + 4 = 16 16 + 6x + -4x = 0 Combine like terms: 6x + -4x = 2x 16 + 2x = 0 Solving 16 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + -16 + 2x = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 2x = 0 + -16 2x = 0 + -16 Combine like terms: 0 + -16 = -16 2x = -16 Divide each side by '2'. x = -8 Simplifying x = -8
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