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Simplifying (6x + 9y) + 15 = 3(3x + y) Remove parenthesis around (6x + 9y) 6x + 9y + 15 = 3(3x + y) Reorder the terms: 15 + 6x + 9y = 3(3x + y) 15 + 6x + 9y = (3x * 3 + y * 3) 15 + 6x + 9y = (9x + 3y) Solving 15 + 6x + 9y = 9x + 3y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-9x' to each side of the equation. 15 + 6x + -9x + 9y = 9x + -9x + 3y Combine like terms: 6x + -9x = -3x 15 + -3x + 9y = 9x + -9x + 3y Combine like terms: 9x + -9x = 0 15 + -3x + 9y = 0 + 3y 15 + -3x + 9y = 3y Add '-15' to each side of the equation. 15 + -3x + -15 + 9y = -15 + 3y Reorder the terms: 15 + -15 + -3x + 9y = -15 + 3y Combine like terms: 15 + -15 = 0 0 + -3x + 9y = -15 + 3y -3x + 9y = -15 + 3y Add '-9y' to each side of the equation. -3x + 9y + -9y = -15 + 3y + -9y Combine like terms: 9y + -9y = 0 -3x + 0 = -15 + 3y + -9y -3x = -15 + 3y + -9y Combine like terms: 3y + -9y = -6y -3x = -15 + -6y Divide each side by '-3'. x = 5 + 2y Simplifying x = 5 + 2y
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