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Simplifying (6 + -3x + 2y) + 4(3x + -5y + 4) = 0 Remove parenthesis around (6 + -3x + 2y) 6 + -3x + 2y + 4(3x + -5y + 4) = 0 Reorder the terms: 6 + -3x + 2y + 4(4 + 3x + -5y) = 0 6 + -3x + 2y + (4 * 4 + 3x * 4 + -5y * 4) = 0 6 + -3x + 2y + (16 + 12x + -20y) = 0 Reorder the terms: 6 + 16 + -3x + 12x + 2y + -20y = 0 Combine like terms: 6 + 16 = 22 22 + -3x + 12x + 2y + -20y = 0 Combine like terms: -3x + 12x = 9x 22 + 9x + 2y + -20y = 0 Combine like terms: 2y + -20y = -18y 22 + 9x + -18y = 0 Solving 22 + 9x + -18y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-22' to each side of the equation. 22 + 9x + -22 + -18y = 0 + -22 Reorder the terms: 22 + -22 + 9x + -18y = 0 + -22 Combine like terms: 22 + -22 = 0 0 + 9x + -18y = 0 + -22 9x + -18y = 0 + -22 Combine like terms: 0 + -22 = -22 9x + -18y = -22 Add '18y' to each side of the equation. 9x + -18y + 18y = -22 + 18y Combine like terms: -18y + 18y = 0 9x + 0 = -22 + 18y 9x = -22 + 18y Divide each side by '9'. x = -2.444444444 + 2y Simplifying x = -2.444444444 + 2y
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