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Simplifying 3(4x + -5y) = 2x + -7y (4x * 3 + -5y * 3) = 2x + -7y (12x + -15y) = 2x + -7y Solving 12x + -15y = 2x + -7y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-2x' to each side of the equation. 12x + -2x + -15y = 2x + -2x + -7y Combine like terms: 12x + -2x = 10x 10x + -15y = 2x + -2x + -7y Combine like terms: 2x + -2x = 0 10x + -15y = 0 + -7y 10x + -15y = -7y Add '15y' to each side of the equation. 10x + -15y + 15y = -7y + 15y Combine like terms: -15y + 15y = 0 10x + 0 = -7y + 15y 10x = -7y + 15y Combine like terms: -7y + 15y = 8y 10x = 8y Divide each side by '10'. x = 0.8y Simplifying x = 0.8y
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