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Simplifying (48x + 51y) + -1(27x + -2y) = 0 Remove parenthesis around (48x + 51y) 48x + 51y + -1(27x + -2y) = 0 48x + 51y + (27x * -1 + -2y * -1) = 0 48x + 51y + (-27x + 2y) = 0 Reorder the terms: 48x + -27x + 51y + 2y = 0 Combine like terms: 48x + -27x = 21x 21x + 51y + 2y = 0 Combine like terms: 51y + 2y = 53y 21x + 53y = 0 Solving 21x + 53y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-53y' to each side of the equation. 21x + 53y + -53y = 0 + -53y Combine like terms: 53y + -53y = 0 21x + 0 = 0 + -53y 21x = 0 + -53y Remove the zero: 21x = -53y Divide each side by '21'. x = -2.523809524y Simplifying x = -2.523809524y
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