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Simplifying 8(3x + -2y) + 4[(-3x) + 4] = 0 (3x * 8 + -2y * 8) + 4[(-3x) + 4] = 0 (24x + -16y) + 4[(-3x) + 4] = 0 Reorder the terms: 24x + -16y + 4[4 + (-3x)] = 0 24x + -16y + [4 * 4 + (-3x) * 4] = 0 24x + -16y + [16 + -12x] = 0 Reorder the terms: 16 + 24x + -12x + -16y = 0 Combine like terms: 24x + -12x = 12x 16 + 12x + -16y = 0 Solving 16 + 12x + -16y = 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 + 12x + -16 + -16y = 0 + -16 Reorder the terms: 16 + -16 + 12x + -16y = 0 + -16 Combine like terms: 16 + -16 = 0 0 + 12x + -16y = 0 + -16 12x + -16y = 0 + -16 Combine like terms: 0 + -16 = -16 12x + -16y = -16 Add '16y' to each side of the equation. 12x + -16y + 16y = -16 + 16y Combine like terms: -16y + 16y = 0 12x + 0 = -16 + 16y 12x = -16 + 16y Divide each side by '12'. x = -1.333333333 + 1.333333333y Simplifying x = -1.333333333 + 1.333333333y
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