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Simplifying (6x + 52y + -5) + -1(3x + 17) = 0 Reorder the terms: (-5 + 6x + 52y) + -1(3x + 17) = 0 Remove parenthesis around (-5 + 6x + 52y) -5 + 6x + 52y + -1(3x + 17) = 0 Reorder the terms: -5 + 6x + 52y + -1(17 + 3x) = 0 -5 + 6x + 52y + (17 * -1 + 3x * -1) = 0 -5 + 6x + 52y + (-17 + -3x) = 0 Reorder the terms: -5 + -17 + 6x + -3x + 52y = 0 Combine like terms: -5 + -17 = -22 -22 + 6x + -3x + 52y = 0 Combine like terms: 6x + -3x = 3x -22 + 3x + 52y = 0 Solving -22 + 3x + 52y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '22' to each side of the equation. -22 + 3x + 22 + 52y = 0 + 22 Reorder the terms: -22 + 22 + 3x + 52y = 0 + 22 Combine like terms: -22 + 22 = 0 0 + 3x + 52y = 0 + 22 3x + 52y = 0 + 22 Combine like terms: 0 + 22 = 22 3x + 52y = 22 Add '-52y' to each side of the equation. 3x + 52y + -52y = 22 + -52y Combine like terms: 52y + -52y = 0 3x + 0 = 22 + -52y 3x = 22 + -52y Divide each side by '3'. x = 7.333333333 + -17.33333333y Simplifying x = 7.333333333 + -17.33333333y
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