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Simplifying 10x + -2[3x + -4(y + -3x) + 5y] = 0 Reorder the terms: 10x + -2[3x + -4(-3x + y) + 5y] = 0 10x + -2[3x + (-3x * -4 + y * -4) + 5y] = 0 10x + -2[3x + (12x + -4y) + 5y] = 0 Combine like terms: 3x + 12x = 15x 10x + -2[15x + -4y + 5y] = 0 Combine like terms: -4y + 5y = 1y 10x + -2[15x + 1y] = 0 10x + [15x * -2 + 1y * -2] = 0 10x + [-30x + -2y] = 0 Combine like terms: 10x + -30x = -20x -20x + -2y = 0 Solving -20x + -2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '2y' to each side of the equation. -20x + -2y + 2y = 0 + 2y Combine like terms: -2y + 2y = 0 -20x + 0 = 0 + 2y -20x = 0 + 2y Remove the zero: -20x = 2y Divide each side by '-20'. x = -0.1y Simplifying x = -0.1y
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