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Simplifying -3(2x + 4) + 3(x + -1y) = 0 Reorder the terms: -3(4 + 2x) + 3(x + -1y) = 0 (4 * -3 + 2x * -3) + 3(x + -1y) = 0 (-12 + -6x) + 3(x + -1y) = 0 -12 + -6x + (x * 3 + -1y * 3) = 0 -12 + -6x + (3x + -3y) = 0 Combine like terms: -6x + 3x = -3x -12 + -3x + -3y = 0 Solving -12 + -3x + -3y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + -3x + 12 + -3y = 0 + 12 Reorder the terms: -12 + 12 + -3x + -3y = 0 + 12 Combine like terms: -12 + 12 = 0 0 + -3x + -3y = 0 + 12 -3x + -3y = 0 + 12 Combine like terms: 0 + 12 = 12 -3x + -3y = 12 Add '3y' to each side of the equation. -3x + -3y + 3y = 12 + 3y Combine like terms: -3y + 3y = 0 -3x + 0 = 12 + 3y -3x = 12 + 3y Divide each side by '-3'. x = -4 + -1y Simplifying x = -4 + -1y
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