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Simplifying (35 + 3x + 9y) + -1(5x + 7y + 27) = 0 Remove parenthesis around (35 + 3x + 9y) 35 + 3x + 9y + -1(5x + 7y + 27) = 0 Reorder the terms: 35 + 3x + 9y + -1(27 + 5x + 7y) = 0 35 + 3x + 9y + (27 * -1 + 5x * -1 + 7y * -1) = 0 35 + 3x + 9y + (-27 + -5x + -7y) = 0 Reorder the terms: 35 + -27 + 3x + -5x + 9y + -7y = 0 Combine like terms: 35 + -27 = 8 8 + 3x + -5x + 9y + -7y = 0 Combine like terms: 3x + -5x = -2x 8 + -2x + 9y + -7y = 0 Combine like terms: 9y + -7y = 2y 8 + -2x + 2y = 0 Solving 8 + -2x + 2y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-8' to each side of the equation. 8 + -2x + -8 + 2y = 0 + -8 Reorder the terms: 8 + -8 + -2x + 2y = 0 + -8 Combine like terms: 8 + -8 = 0 0 + -2x + 2y = 0 + -8 -2x + 2y = 0 + -8 Combine like terms: 0 + -8 = -8 -2x + 2y = -8 Add '-2y' to each side of the equation. -2x + 2y + -2y = -8 + -2y Combine like terms: 2y + -2y = 0 -2x + 0 = -8 + -2y -2x = -8 + -2y Divide each side by '-2'. x = 4 + y Simplifying x = 4 + y
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