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Simplifying 2[3x + -4(y + -2)] = 0 Reorder the terms: 2[3x + -4(-2 + y)] = 0 2[3x + (-2 * -4 + y * -4)] = 0 2[3x + (8 + -4y)] = 0 Reorder the terms: 2[8 + 3x + -4y] = 0 [8 * 2 + 3x * 2 + -4y * 2] = 0 [16 + 6x + -8y] = 0 Solving 16 + 6x + -8y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-16' to each side of the equation. 16 + 6x + -16 + -8y = 0 + -16 Reorder the terms: 16 + -16 + 6x + -8y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 6x + -8y = 0 + -16 6x + -8y = 0 + -16 Combine like terms: 0 + -16 = -16 6x + -8y = -16 Add '8y' to each side of the equation. 6x + -8y + 8y = -16 + 8y Combine like terms: -8y + 8y = 0 6x + 0 = -16 + 8y 6x = -16 + 8y Divide each side by '6'. x = -2.666666667 + 1.333333333y Simplifying x = -2.666666667 + 1.333333333y
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