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Simplifying (51x + 57y) + -1(8x + 29y) = 0 Remove parenthesis around (51x + 57y) 51x + 57y + -1(8x + 29y) = 0 51x + 57y + (8x * -1 + 29y * -1) = 0 51x + 57y + (-8x + -29y) = 0 Reorder the terms: 51x + -8x + 57y + -29y = 0 Combine like terms: 51x + -8x = 43x 43x + 57y + -29y = 0 Combine like terms: 57y + -29y = 28y 43x + 28y = 0 Solving 43x + 28y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-28y' to each side of the equation. 43x + 28y + -28y = 0 + -28y Combine like terms: 28y + -28y = 0 43x + 0 = 0 + -28y 43x = 0 + -28y Remove the zero: 43x = -28y Divide each side by '43'. x = -0.6511627907y Simplifying x = -0.6511627907y
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