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Simplifying 2(3 + -1x) + 4(x + -2) = 0 (3 * 2 + -1x * 2) + 4(x + -2) = 0 (6 + -2x) + 4(x + -2) = 0 Reorder the terms: 6 + -2x + 4(-2 + x) = 0 6 + -2x + (-2 * 4 + x * 4) = 0 6 + -2x + (-8 + 4x) = 0 Reorder the terms: 6 + -8 + -2x + 4x = 0 Combine like terms: 6 + -8 = -2 -2 + -2x + 4x = 0 Combine like terms: -2x + 4x = 2x -2 + 2x = 0 Solving -2 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2' to each side of the equation. -2 + 2 + 2x = 0 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 0 + 2 2x = 0 + 2 Combine like terms: 0 + 2 = 2 2x = 2 Divide each side by '2'. x = 1 Simplifying x = 1
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