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Simplifying 3x + 27 + -1(x + 1) + 5(2y + -1) = 0 Reorder the terms: 3x + 27 + -1(1 + x) + 5(2y + -1) = 0 3x + 27 + (1 * -1 + x * -1) + 5(2y + -1) = 0 3x + 27 + (-1 + -1x) + 5(2y + -1) = 0 Reorder the terms: 3x + 27 + -1 + -1x + 5(-1 + 2y) = 0 3x + 27 + -1 + -1x + (-1 * 5 + 2y * 5) = 0 3x + 27 + -1 + -1x + (-5 + 10y) = 0 Reorder the terms: 27 + -1 + -5 + 3x + -1x + 10y = 0 Combine like terms: 27 + -1 = 26 26 + -5 + 3x + -1x + 10y = 0 Combine like terms: 26 + -5 = 21 21 + 3x + -1x + 10y = 0 Combine like terms: 3x + -1x = 2x 21 + 2x + 10y = 0 Solving 21 + 2x + 10y = 0 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 + 2x + -21 + 10y = 0 + -21 Reorder the terms: 21 + -21 + 2x + 10y = 0 + -21 Combine like terms: 21 + -21 = 0 0 + 2x + 10y = 0 + -21 2x + 10y = 0 + -21 Combine like terms: 0 + -21 = -21 2x + 10y = -21 Add '-10y' to each side of the equation. 2x + 10y + -10y = -21 + -10y Combine like terms: 10y + -10y = 0 2x + 0 = -21 + -10y 2x = -21 + -10y Divide each side by '2'. x = -10.5 + -5y Simplifying x = -10.5 + -5y
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