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Simplifying 5x + -3[4(x + -1y) + 6x] = 0 5x + -3[(x * 4 + -1y * 4) + 6x] = 0 5x + -3[(4x + -4y) + 6x] = 0 Reorder the terms: 5x + -3[4x + 6x + -4y] = 0 Combine like terms: 4x + 6x = 10x 5x + -3[10x + -4y] = 0 5x + [10x * -3 + -4y * -3] = 0 5x + [-30x + 12y] = 0 Combine like terms: 5x + -30x = -25x -25x + 12y = 0 Solving -25x + 12y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-12y' to each side of the equation. -25x + 12y + -12y = 0 + -12y Combine like terms: 12y + -12y = 0 -25x + 0 = 0 + -12y -25x = 0 + -12y Remove the zero: -25x = -12y Divide each side by '-25'. x = 0.48y Simplifying x = 0.48y
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