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Simplifying (3x + -4y) + (7x + 27) = 0 Remove parenthesis around (3x + -4y) 3x + -4y + (7x + 27) = 0 Reorder the terms: 3x + -4y + (27 + 7x) = 0 Remove parenthesis around (27 + 7x) 3x + -4y + 27 + 7x = 0 Reorder the terms: 27 + 3x + 7x + -4y = 0 Combine like terms: 3x + 7x = 10x 27 + 10x + -4y = 0 Solving 27 + 10x + -4y = 0 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-27' to each side of the equation. 27 + 10x + -27 + -4y = 0 + -27 Reorder the terms: 27 + -27 + 10x + -4y = 0 + -27 Combine like terms: 27 + -27 = 0 0 + 10x + -4y = 0 + -27 10x + -4y = 0 + -27 Combine like terms: 0 + -27 = -27 10x + -4y = -27 Add '4y' to each side of the equation. 10x + -4y + 4y = -27 + 4y Combine like terms: -4y + 4y = 0 10x + 0 = -27 + 4y 10x = -27 + 4y Divide each side by '10'. x = -2.7 + 0.4y Simplifying x = -2.7 + 0.4y
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