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Simplifying 3(x + -2) + -1(x + 4) = 0 Reorder the terms: 3(-2 + x) + -1(x + 4) = 0 (-2 * 3 + x * 3) + -1(x + 4) = 0 (-6 + 3x) + -1(x + 4) = 0 Reorder the terms: -6 + 3x + -1(4 + x) = 0 -6 + 3x + (4 * -1 + x * -1) = 0 -6 + 3x + (-4 + -1x) = 0 Reorder the terms: -6 + -4 + 3x + -1x = 0 Combine like terms: -6 + -4 = -10 -10 + 3x + -1x = 0 Combine like terms: 3x + -1x = 2x -10 + 2x = 0 Solving -10 + 2x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10' to each side of the equation. -10 + 10 + 2x = 0 + 10 Combine like terms: -10 + 10 = 0 0 + 2x = 0 + 10 2x = 0 + 10 Combine like terms: 0 + 10 = 10 2x = 10 Divide each side by '2'. x = 5 Simplifying x = 5
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