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Simplifying 2 + 2(3x + 4y) + -3x = 0 2 + (3x * 2 + 4y * 2) + -3x = 0 2 + (6x + 8y) + -3x = 0 Reorder the terms: 2 + 6x + -3x + 8y = 0 Combine like terms: 6x + -3x = 3x 2 + 3x + 8y = 0 Solving 2 + 3x + 8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2' to each side of the equation. 2 + 3x + -2 + 8y = 0 + -2 Reorder the terms: 2 + -2 + 3x + 8y = 0 + -2 Combine like terms: 2 + -2 = 0 0 + 3x + 8y = 0 + -2 3x + 8y = 0 + -2 Combine like terms: 0 + -2 = -2 3x + 8y = -2 Add '-8y' to each side of the equation. 3x + 8y + -8y = -2 + -8y Combine like terms: 8y + -8y = 0 3x + 0 = -2 + -8y 3x = -2 + -8y Divide each side by '3'. x = -0.6666666667 + -2.666666667y Simplifying x = -0.6666666667 + -2.666666667y
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