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Simplifying 7(3x + -2y) + 5(4x + -7y) = 0 (3x * 7 + -2y * 7) + 5(4x + -7y) = 0 (21x + -14y) + 5(4x + -7y) = 0 21x + -14y + (4x * 5 + -7y * 5) = 0 21x + -14y + (20x + -35y) = 0 Reorder the terms: 21x + 20x + -14y + -35y = 0 Combine like terms: 21x + 20x = 41x 41x + -14y + -35y = 0 Combine like terms: -14y + -35y = -49y 41x + -49y = 0 Solving 41x + -49y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '49y' to each side of the equation. 41x + -49y + 49y = 0 + 49y Combine like terms: -49y + 49y = 0 41x + 0 = 0 + 49y 41x = 0 + 49y Remove the zero: 41x = 49y Divide each side by '41'. x = 1.195121951y Simplifying x = 1.195121951y
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