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Simplifying 4x + 5y = 3(x + -4y) 4x + 5y = (x * 3 + -4y * 3) 4x + 5y = (3x + -12y) Solving 4x + 5y = 3x + -12y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 4x + -3x + 5y = 3x + -3x + -12y Combine like terms: 4x + -3x = 1x 1x + 5y = 3x + -3x + -12y Combine like terms: 3x + -3x = 0 1x + 5y = 0 + -12y 1x + 5y = -12y Add '-5y' to each side of the equation. 1x + 5y + -5y = -12y + -5y Combine like terms: 5y + -5y = 0 1x + 0 = -12y + -5y 1x = -12y + -5y Combine like terms: -12y + -5y = -17y 1x = -17y Divide each side by '1'. x = -17y Simplifying x = -17y
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