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Simplifying (3y + -12) + 5x = (x + 32) + (2y + 5) Reorder the terms: (-12 + 3y) + 5x = (x + 32) + (2y + 5) Remove parenthesis around (-12 + 3y) -12 + 3y + 5x = (x + 32) + (2y + 5) Reorder the terms: -12 + 5x + 3y = (x + 32) + (2y + 5) Reorder the terms: -12 + 5x + 3y = (32 + x) + (2y + 5) Remove parenthesis around (32 + x) -12 + 5x + 3y = 32 + x + (2y + 5) Reorder the terms: -12 + 5x + 3y = 32 + x + (5 + 2y) Remove parenthesis around (5 + 2y) -12 + 5x + 3y = 32 + x + 5 + 2y Reorder the terms: -12 + 5x + 3y = 32 + 5 + x + 2y Combine like terms: 32 + 5 = 37 -12 + 5x + 3y = 37 + x + 2y Solving -12 + 5x + 3y = 37 + x + 2y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-1x' to each side of the equation. -12 + 5x + -1x + 3y = 37 + x + -1x + 2y Combine like terms: 5x + -1x = 4x -12 + 4x + 3y = 37 + x + -1x + 2y Combine like terms: x + -1x = 0 -12 + 4x + 3y = 37 + 0 + 2y -12 + 4x + 3y = 37 + 2y Add '12' to each side of the equation. -12 + 4x + 12 + 3y = 37 + 12 + 2y Reorder the terms: -12 + 12 + 4x + 3y = 37 + 12 + 2y Combine like terms: -12 + 12 = 0 0 + 4x + 3y = 37 + 12 + 2y 4x + 3y = 37 + 12 + 2y Combine like terms: 37 + 12 = 49 4x + 3y = 49 + 2y Add '-3y' to each side of the equation. 4x + 3y + -3y = 49 + 2y + -3y Combine like terms: 3y + -3y = 0 4x + 0 = 49 + 2y + -3y 4x = 49 + 2y + -3y Combine like terms: 2y + -3y = -1y 4x = 49 + -1y Divide each side by '4'. x = 12.25 + -0.25y Simplifying x = 12.25 + -0.25y
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