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