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Simplifying 3(x + -10y) + -4(7y + 2x) = 0 (x * 3 + -10y * 3) + -4(7y + 2x) = 0 (3x + -30y) + -4(7y + 2x) = 0 Reorder the terms: 3x + -30y + -4(2x + 7y) = 0 3x + -30y + (2x * -4 + 7y * -4) = 0 3x + -30y + (-8x + -28y) = 0 Reorder the terms: 3x + -8x + -30y + -28y = 0 Combine like terms: 3x + -8x = -5x -5x + -30y + -28y = 0 Combine like terms: -30y + -28y = -58y -5x + -58y = 0 Solving -5x + -58y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '58y' to each side of the equation. -5x + -58y + 58y = 0 + 58y Combine like terms: -58y + 58y = 0 -5x + 0 = 0 + 58y -5x = 0 + 58y Remove the zero: -5x = 58y Divide each side by '-5'. x = -11.6y Simplifying x = -11.6y
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