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Simplifying -3(x + -4) + 2xy = xy + -5x + xy + -6 Reorder the terms: -3(-4 + x) + 2xy = xy + -5x + xy + -6 (-4 * -3 + x * -3) + 2xy = xy + -5x + xy + -6 (12 + -3x) + 2xy = xy + -5x + xy + -6 Reorder the terms: 12 + -3x + 2xy = -6 + -5x + xy + xy Combine like terms: xy + xy = 2xy 12 + -3x + 2xy = -6 + -5x + 2xy Add '-2xy' to each side of the equation. 12 + -3x + 2xy + -2xy = -6 + -5x + 2xy + -2xy Combine like terms: 2xy + -2xy = 0 12 + -3x + 0 = -6 + -5x + 2xy + -2xy 12 + -3x = -6 + -5x + 2xy + -2xy Combine like terms: 2xy + -2xy = 0 12 + -3x = -6 + -5x + 0 12 + -3x = -6 + -5x Solving 12 + -3x = -6 + -5x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '5x' to each side of the equation. 12 + -3x + 5x = -6 + -5x + 5x Combine like terms: -3x + 5x = 2x 12 + 2x = -6 + -5x + 5x Combine like terms: -5x + 5x = 0 12 + 2x = -6 + 0 12 + 2x = -6 Add '-12' to each side of the equation. 12 + -12 + 2x = -6 + -12 Combine like terms: 12 + -12 = 0 0 + 2x = -6 + -12 2x = -6 + -12 Combine like terms: -6 + -12 = -18 2x = -18 Divide each side by '2'. x = -9 Simplifying x = -9
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