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Simplifying 5(4x + -3y + 6) = 0 Reorder the terms: 5(6 + 4x + -3y) = 0 (6 * 5 + 4x * 5 + -3y * 5) = 0 (30 + 20x + -15y) = 0 Solving 30 + 20x + -15y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-30' to each side of the equation. 30 + 20x + -30 + -15y = 0 + -30 Reorder the terms: 30 + -30 + 20x + -15y = 0 + -30 Combine like terms: 30 + -30 = 0 0 + 20x + -15y = 0 + -30 20x + -15y = 0 + -30 Combine like terms: 0 + -30 = -30 20x + -15y = -30 Add '15y' to each side of the equation. 20x + -15y + 15y = -30 + 15y Combine like terms: -15y + 15y = 0 20x + 0 = -30 + 15y 20x = -30 + 15y Divide each side by '20'. x = -1.5 + 0.75y Simplifying x = -1.5 + 0.75y
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