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Simplifying 3(x + -2) + -1(x + -4) = 6 Reorder the terms: 3(-2 + x) + -1(x + -4) = 6 (-2 * 3 + x * 3) + -1(x + -4) = 6 (-6 + 3x) + -1(x + -4) = 6 Reorder the terms: -6 + 3x + -1(-4 + x) = 6 -6 + 3x + (-4 * -1 + x * -1) = 6 -6 + 3x + (4 + -1x) = 6 Reorder the terms: -6 + 4 + 3x + -1x = 6 Combine like terms: -6 + 4 = -2 -2 + 3x + -1x = 6 Combine like terms: 3x + -1x = 2x -2 + 2x = 6 Solving -2 + 2x = 6 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 = 6 + 2 Combine like terms: -2 + 2 = 0 0 + 2x = 6 + 2 2x = 6 + 2 Combine like terms: 6 + 2 = 8 2x = 8 Divide each side by '2'. x = 4 Simplifying x = 4
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