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Simplifying 3(2x + -5y + 4) = 0 Reorder the terms: 3(4 + 2x + -5y) = 0 (4 * 3 + 2x * 3 + -5y * 3) = 0 (12 + 6x + -15y) = 0 Solving 12 + 6x + -15y = 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 + 6x + -12 + -15y = 0 + -12 Reorder the terms: 12 + -12 + 6x + -15y = 0 + -12 Combine like terms: 12 + -12 = 0 0 + 6x + -15y = 0 + -12 6x + -15y = 0 + -12 Combine like terms: 0 + -12 = -12 6x + -15y = -12 Add '15y' to each side of the equation. 6x + -15y + 15y = -12 + 15y Combine like terms: -15y + 15y = 0 6x + 0 = -12 + 15y 6x = -12 + 15y Divide each side by '6'. x = -2 + 2.5y Simplifying x = -2 + 2.5y
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