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