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Simplifying (3x + -1) * 4 + -1(3x + -1y) = 0 Reorder the terms: (-1 + 3x) * 4 + -1(3x + -1y) = 0 Reorder the terms for easier multiplication: 4(-1 + 3x) + -1(3x + -1y) = 0 (-1 * 4 + 3x * 4) + -1(3x + -1y) = 0 (-4 + 12x) + -1(3x + -1y) = 0 -4 + 12x + (3x * -1 + -1y * -1) = 0 -4 + 12x + (-3x + 1y) = 0 Combine like terms: 12x + -3x = 9x -4 + 9x + 1y = 0 Solving -4 + 9x + 1y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '4' to each side of the equation. -4 + 9x + 4 + 1y = 0 + 4 Reorder the terms: -4 + 4 + 9x + 1y = 0 + 4 Combine like terms: -4 + 4 = 0 0 + 9x + 1y = 0 + 4 9x + 1y = 0 + 4 Combine like terms: 0 + 4 = 4 9x + 1y = 4 Add '-1y' to each side of the equation. 9x + 1y + -1y = 4 + -1y Combine like terms: 1y + -1y = 0 9x + 0 = 4 + -1y 9x = 4 + -1y Divide each side by '9'. x = 0.4444444444 + -0.1111111111y Simplifying x = 0.4444444444 + -0.1111111111y
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