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Simplifying 10(4 + 3y + 2x) + 2y = 0 Reorder the terms: 10(4 + 2x + 3y) + 2y = 0 (4 * 10 + 2x * 10 + 3y * 10) + 2y = 0 (40 + 20x + 30y) + 2y = 0 Combine like terms: 30y + 2y = 32y 40 + 20x + 32y = 0 Solving 40 + 20x + 32y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-40' to each side of the equation. 40 + 20x + -40 + 32y = 0 + -40 Reorder the terms: 40 + -40 + 20x + 32y = 0 + -40 Combine like terms: 40 + -40 = 0 0 + 20x + 32y = 0 + -40 20x + 32y = 0 + -40 Combine like terms: 0 + -40 = -40 20x + 32y = -40 Add '-32y' to each side of the equation. 20x + 32y + -32y = -40 + -32y Combine like terms: 32y + -32y = 0 20x + 0 = -40 + -32y 20x = -40 + -32y Divide each side by '20'. x = -2 + -1.6y Simplifying x = -2 + -1.6y
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