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Simplifying (64x + 53y) + -1(-43x + 6y) = 0 Remove parenthesis around (64x + 53y) 64x + 53y + -1(-43x + 6y) = 0 64x + 53y + (-43x * -1 + 6y * -1) = 0 64x + 53y + (43x + -6y) = 0 Reorder the terms: 64x + 43x + 53y + -6y = 0 Combine like terms: 64x + 43x = 107x 107x + 53y + -6y = 0 Combine like terms: 53y + -6y = 47y 107x + 47y = 0 Solving 107x + 47y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-47y' to each side of the equation. 107x + 47y + -47y = 0 + -47y Combine like terms: 47y + -47y = 0 107x + 0 = 0 + -47y 107x = 0 + -47y Remove the zero: 107x = -47y Divide each side by '107'. x = -0.4392523364y Simplifying x = -0.4392523364y
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