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Simplifying (13x + 9) + 2(3y + -25) = (4y + 2) + (15x + -1) Reorder the terms: (9 + 13x) + 2(3y + -25) = (4y + 2) + (15x + -1) Remove parenthesis around (9 + 13x) 9 + 13x + 2(3y + -25) = (4y + 2) + (15x + -1) Reorder the terms: 9 + 13x + 2(-25 + 3y) = (4y + 2) + (15x + -1) 9 + 13x + (-25 * 2 + 3y * 2) = (4y + 2) + (15x + -1) 9 + 13x + (-50 + 6y) = (4y + 2) + (15x + -1) Reorder the terms: 9 + -50 + 13x + 6y = (4y + 2) + (15x + -1) Combine like terms: 9 + -50 = -41 -41 + 13x + 6y = (4y + 2) + (15x + -1) Reorder the terms: -41 + 13x + 6y = (2 + 4y) + (15x + -1) Remove parenthesis around (2 + 4y) -41 + 13x + 6y = 2 + 4y + (15x + -1) Reorder the terms: -41 + 13x + 6y = 2 + 4y + (-1 + 15x) Remove parenthesis around (-1 + 15x) -41 + 13x + 6y = 2 + 4y + -1 + 15x Reorder the terms: -41 + 13x + 6y = 2 + -1 + 15x + 4y Combine like terms: 2 + -1 = 1 -41 + 13x + 6y = 1 + 15x + 4y Solving -41 + 13x + 6y = 1 + 15x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-15x' to each side of the equation. -41 + 13x + -15x + 6y = 1 + 15x + -15x + 4y Combine like terms: 13x + -15x = -2x -41 + -2x + 6y = 1 + 15x + -15x + 4y Combine like terms: 15x + -15x = 0 -41 + -2x + 6y = 1 + 0 + 4y -41 + -2x + 6y = 1 + 4y Add '41' to each side of the equation. -41 + -2x + 41 + 6y = 1 + 41 + 4y Reorder the terms: -41 + 41 + -2x + 6y = 1 + 41 + 4y Combine like terms: -41 + 41 = 0 0 + -2x + 6y = 1 + 41 + 4y -2x + 6y = 1 + 41 + 4y Combine like terms: 1 + 41 = 42 -2x + 6y = 42 + 4y Add '-6y' to each side of the equation. -2x + 6y + -6y = 42 + 4y + -6y Combine like terms: 6y + -6y = 0 -2x + 0 = 42 + 4y + -6y -2x = 42 + 4y + -6y Combine like terms: 4y + -6y = -2y -2x = 42 + -2y Divide each side by '-2'. x = -21 + y Simplifying x = -21 + y
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