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Simplifying 3(5x + -7y) + -2(3x + -2y) = 0 (5x * 3 + -7y * 3) + -2(3x + -2y) = 0 (15x + -21y) + -2(3x + -2y) = 0 15x + -21y + (3x * -2 + -2y * -2) = 0 15x + -21y + (-6x + 4y) = 0 Reorder the terms: 15x + -6x + -21y + 4y = 0 Combine like terms: 15x + -6x = 9x 9x + -21y + 4y = 0 Combine like terms: -21y + 4y = -17y 9x + -17y = 0 Solving 9x + -17y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '17y' to each side of the equation. 9x + -17y + 17y = 0 + 17y Combine like terms: -17y + 17y = 0 9x + 0 = 0 + 17y 9x = 0 + 17y Remove the zero: 9x = 17y Divide each side by '9'. x = 1.888888889y Simplifying x = 1.888888889y
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