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Simplifying 2x + 3(y + 9) = 19 Reorder the terms: 2x + 3(9 + y) = 19 2x + (9 * 3 + y * 3) = 19 2x + (27 + 3y) = 19 Reorder the terms: 27 + 2x + 3y = 19 Solving 27 + 2x + 3y = 19 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 + 2x + -27 + 3y = 19 + -27 Reorder the terms: 27 + -27 + 2x + 3y = 19 + -27 Combine like terms: 27 + -27 = 0 0 + 2x + 3y = 19 + -27 2x + 3y = 19 + -27 Combine like terms: 19 + -27 = -8 2x + 3y = -8 Add '-3y' to each side of the equation. 2x + 3y + -3y = -8 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = -8 + -3y 2x = -8 + -3y Divide each side by '2'. x = -4 + -1.5y Simplifying x = -4 + -1.5y
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