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Simplifying (54x + 67y) + -1(-34x + 19y) = 0 Remove parenthesis around (54x + 67y) 54x + 67y + -1(-34x + 19y) = 0 54x + 67y + (-34x * -1 + 19y * -1) = 0 54x + 67y + (34x + -19y) = 0 Reorder the terms: 54x + 34x + 67y + -19y = 0 Combine like terms: 54x + 34x = 88x 88x + 67y + -19y = 0 Combine like terms: 67y + -19y = 48y 88x + 48y = 0 Solving 88x + 48y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-48y' to each side of the equation. 88x + 48y + -48y = 0 + -48y Combine like terms: 48y + -48y = 0 88x + 0 = 0 + -48y 88x = 0 + -48y Remove the zero: 88x = -48y Divide each side by '88'. x = -0.5454545455y Simplifying x = -0.5454545455y
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