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Simplifying 8(3x + -2y) + 4[(-3) + 4y] = 0 (3x * 8 + -2y * 8) + 4[(-3) + 4y] = 0 (24x + -16y) + 4[(-3) + 4y] = 0 24x + -16y + 4[-3 + 4y] = 0 24x + -16y + [-3 * 4 + 4y * 4] = 0 24x + -16y + [-12 + 16y] = 0 Reorder the terms: -12 + 24x + -16y + 16y = 0 Combine like terms: -16y + 16y = 0 -12 + 24x + 0 = 0 -12 + 24x = 0 Solving -12 + 24x = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12' to each side of the equation. -12 + 12 + 24x = 0 + 12 Combine like terms: -12 + 12 = 0 0 + 24x = 0 + 12 24x = 0 + 12 Combine like terms: 0 + 12 = 12 24x = 12 Divide each side by '24'. x = 0.5 Simplifying x = 0.5
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