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Simplifying 4[3x + -4(y + -2)] = 0 Reorder the terms: 4[3x + -4(-2 + y)] = 0 4[3x + (-2 * -4 + y * -4)] = 0 4[3x + (8 + -4y)] = 0 Reorder the terms: 4[8 + 3x + -4y] = 0 [8 * 4 + 3x * 4 + -4y * 4] = 0 [32 + 12x + -16y] = 0 Solving 32 + 12x + -16y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-32' to each side of the equation. 32 + 12x + -32 + -16y = 0 + -32 Reorder the terms: 32 + -32 + 12x + -16y = 0 + -32 Combine like terms: 32 + -32 = 0 0 + 12x + -16y = 0 + -32 12x + -16y = 0 + -32 Combine like terms: 0 + -32 = -32 12x + -16y = -32 Add '16y' to each side of the equation. 12x + -16y + 16y = -32 + 16y Combine like terms: -16y + 16y = 0 12x + 0 = -32 + 16y 12x = -32 + 16y Divide each side by '12'. x = -2.666666667 + 1.333333333y Simplifying x = -2.666666667 + 1.333333333y
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