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Simplifying (2y + 28) + (4x + 10) = (4y + 26) + (3x + -5) Reorder the terms: (28 + 2y) + (4x + 10) = (4y + 26) + (3x + -5) Remove parenthesis around (28 + 2y) 28 + 2y + (4x + 10) = (4y + 26) + (3x + -5) Reorder the terms: 28 + 2y + (10 + 4x) = (4y + 26) + (3x + -5) Remove parenthesis around (10 + 4x) 28 + 2y + 10 + 4x = (4y + 26) + (3x + -5) Reorder the terms: 28 + 10 + 4x + 2y = (4y + 26) + (3x + -5) Combine like terms: 28 + 10 = 38 38 + 4x + 2y = (4y + 26) + (3x + -5) Reorder the terms: 38 + 4x + 2y = (26 + 4y) + (3x + -5) Remove parenthesis around (26 + 4y) 38 + 4x + 2y = 26 + 4y + (3x + -5) Reorder the terms: 38 + 4x + 2y = 26 + 4y + (-5 + 3x) Remove parenthesis around (-5 + 3x) 38 + 4x + 2y = 26 + 4y + -5 + 3x Reorder the terms: 38 + 4x + 2y = 26 + -5 + 3x + 4y Combine like terms: 26 + -5 = 21 38 + 4x + 2y = 21 + 3x + 4y Solving 38 + 4x + 2y = 21 + 3x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 38 + 4x + -3x + 2y = 21 + 3x + -3x + 4y Combine like terms: 4x + -3x = 1x 38 + 1x + 2y = 21 + 3x + -3x + 4y Combine like terms: 3x + -3x = 0 38 + 1x + 2y = 21 + 0 + 4y 38 + 1x + 2y = 21 + 4y Add '-38' to each side of the equation. 38 + 1x + -38 + 2y = 21 + -38 + 4y Reorder the terms: 38 + -38 + 1x + 2y = 21 + -38 + 4y Combine like terms: 38 + -38 = 0 0 + 1x + 2y = 21 + -38 + 4y 1x + 2y = 21 + -38 + 4y Combine like terms: 21 + -38 = -17 1x + 2y = -17 + 4y Add '-2y' to each side of the equation. 1x + 2y + -2y = -17 + 4y + -2y Combine like terms: 2y + -2y = 0 1x + 0 = -17 + 4y + -2y 1x = -17 + 4y + -2y Combine like terms: 4y + -2y = 2y 1x = -17 + 2y Divide each side by '1'. x = -17 + 2y Simplifying x = -17 + 2y
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