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Simplifying 2[5(x + y) + -3(5x + -4y)] = 0 2[(x * 5 + y * 5) + -3(5x + -4y)] = 0 2[(5x + 5y) + -3(5x + -4y)] = 0 2[5x + 5y + (5x * -3 + -4y * -3)] = 0 2[5x + 5y + (-15x + 12y)] = 0 Reorder the terms: 2[5x + -15x + 5y + 12y] = 0 Combine like terms: 5x + -15x = -10x 2[-10x + 5y + 12y] = 0 Combine like terms: 5y + 12y = 17y 2[-10x + 17y] = 0 [-10x * 2 + 17y * 2] = 0 [-20x + 34y] = 0 Solving -20x + 34y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-34y' to each side of the equation. -20x + 34y + -34y = 0 + -34y Combine like terms: 34y + -34y = 0 -20x + 0 = 0 + -34y -20x = 0 + -34y Remove the zero: -20x = -34y Divide each side by '-20'. x = 1.7y Simplifying x = 1.7y
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