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Simplifying 5x + (4y + -12) + (4x + -9) + 2y = 360 Reorder the terms: 5x + (-12 + 4y) + (4x + -9) + 2y = 360 Remove parenthesis around (-12 + 4y) 5x + -12 + 4y + (4x + -9) + 2y = 360 Reorder the terms: 5x + -12 + 4y + (-9 + 4x) + 2y = 360 Remove parenthesis around (-9 + 4x) 5x + -12 + 4y + -9 + 4x + 2y = 360 Reorder the terms: -12 + -9 + 5x + 4x + 4y + 2y = 360 Combine like terms: -12 + -9 = -21 -21 + 5x + 4x + 4y + 2y = 360 Combine like terms: 5x + 4x = 9x -21 + 9x + 4y + 2y = 360 Combine like terms: 4y + 2y = 6y -21 + 9x + 6y = 360 Solving -21 + 9x + 6y = 360 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '21' to each side of the equation. -21 + 9x + 21 + 6y = 360 + 21 Reorder the terms: -21 + 21 + 9x + 6y = 360 + 21 Combine like terms: -21 + 21 = 0 0 + 9x + 6y = 360 + 21 9x + 6y = 360 + 21 Combine like terms: 360 + 21 = 381 9x + 6y = 381 Add '-6y' to each side of the equation. 9x + 6y + -6y = 381 + -6y Combine like terms: 6y + -6y = 0 9x + 0 = 381 + -6y 9x = 381 + -6y Divide each side by '9'. x = 42.33333333 + -0.6666666667y Simplifying x = 42.33333333 + -0.6666666667y
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