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Simplifying 7(3x + -4y + 2) = 0 Reorder the terms: 7(2 + 3x + -4y) = 0 (2 * 7 + 3x * 7 + -4y * 7) = 0 (14 + 21x + -28y) = 0 Solving 14 + 21x + -28y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-14' to each side of the equation. 14 + 21x + -14 + -28y = 0 + -14 Reorder the terms: 14 + -14 + 21x + -28y = 0 + -14 Combine like terms: 14 + -14 = 0 0 + 21x + -28y = 0 + -14 21x + -28y = 0 + -14 Combine like terms: 0 + -14 = -14 21x + -28y = -14 Add '28y' to each side of the equation. 21x + -28y + 28y = -14 + 28y Combine like terms: -28y + 28y = 0 21x + 0 = -14 + 28y 21x = -14 + 28y Divide each side by '21'. x = -0.6666666667 + 1.333333333y Simplifying x = -0.6666666667 + 1.333333333y
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