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Simplifying (61x + 51y) + -1(4x + -19y) = 0 Remove parenthesis around (61x + 51y) 61x + 51y + -1(4x + -19y) = 0 61x + 51y + (4x * -1 + -19y * -1) = 0 61x + 51y + (-4x + 19y) = 0 Reorder the terms: 61x + -4x + 51y + 19y = 0 Combine like terms: 61x + -4x = 57x 57x + 51y + 19y = 0 Combine like terms: 51y + 19y = 70y 57x + 70y = 0 Solving 57x + 70y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-70y' to each side of the equation. 57x + 70y + -70y = 0 + -70y Combine like terms: 70y + -70y = 0 57x + 0 = 0 + -70y 57x = 0 + -70y Remove the zero: 57x = -70y Divide each side by '57'. x = -1.228070175y Simplifying x = -1.228070175y
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