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Simplifying 2x + 3y = 3(y + -4x) Reorder the terms: 2x + 3y = 3(-4x + y) 2x + 3y = (-4x * 3 + y * 3) 2x + 3y = (-12x + 3y) Add '-3y' to each side of the equation. 2x + 3y + -3y = -12x + 3y + -3y Combine like terms: 3y + -3y = 0 2x + 0 = -12x + 3y + -3y 2x = -12x + 3y + -3y Combine like terms: 3y + -3y = 0 2x = -12x + 0 2x = -12x Solving 2x = -12x Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '12x' to each side of the equation. 2x + 12x = -12x + 12x Combine like terms: 2x + 12x = 14x 14x = -12x + 12x Combine like terms: -12x + 12x = 0 14x = 0 Divide each side by '14'. x = 0 Simplifying x = 0
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