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Simplifying 4(x + -4) + -2(x + -6) = 0 Reorder the terms: 4(-4 + x) + -2(x + -6) = 0 (-4 * 4 + x * 4) + -2(x + -6) = 0 (-16 + 4x) + -2(x + -6) = 0 Reorder the terms: -16 + 4x + -2(-6 + x) = 0 -16 + 4x + (-6 * -2 + x * -2) = 0 -16 + 4x + (12 + -2x) = 0 Reorder the terms: -16 + 12 + 4x + -2x = 0 Combine like terms: -16 + 12 = -4 -4 + 4x + -2x = 0 Combine like terms: 4x + -2x = 2x -4 + 2x = 0 Solving -4 + 2x = 0 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 + 2x = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 2x = 0 + 4 2x = 0 + 4 Combine like terms: 0 + 4 = 4 2x = 4 Divide each side by '2'. x = 2 Simplifying x = 2
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