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Simplifying 4(-3y + 4x) = 5(-2x + -10y) Reorder the terms: 4(4x + -3y) = 5(-2x + -10y) (4x * 4 + -3y * 4) = 5(-2x + -10y) (16x + -12y) = 5(-2x + -10y) 16x + -12y = (-2x * 5 + -10y * 5) 16x + -12y = (-10x + -50y) Solving 16x + -12y = -10x + -50y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '10x' to each side of the equation. 16x + 10x + -12y = -10x + 10x + -50y Combine like terms: 16x + 10x = 26x 26x + -12y = -10x + 10x + -50y Combine like terms: -10x + 10x = 0 26x + -12y = 0 + -50y 26x + -12y = -50y Add '12y' to each side of the equation. 26x + -12y + 12y = -50y + 12y Combine like terms: -12y + 12y = 0 26x + 0 = -50y + 12y 26x = -50y + 12y Combine like terms: -50y + 12y = -38y 26x = -38y Divide each side by '26'. x = -1.461538462y Simplifying x = -1.461538462y
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