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