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Simplifying 3y + 2(x + 4) = 43 Reorder the terms: 3y + 2(4 + x) = 43 3y + (4 * 2 + x * 2) = 43 3y + (8 + 2x) = 43 Reorder the terms: 8 + 2x + 3y = 43 Solving 8 + 2x + 3y = 43 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 + 3y = 43 + -8 Reorder the terms: 8 + -8 + 2x + 3y = 43 + -8 Combine like terms: 8 + -8 = 0 0 + 2x + 3y = 43 + -8 2x + 3y = 43 + -8 Combine like terms: 43 + -8 = 35 2x + 3y = 35 Add '-3y' to each side of the equation. 2x + 3y + -3y = 35 + -3y Combine like terms: 3y + -3y = 0 2x + 0 = 35 + -3y 2x = 35 + -3y Divide each side by '2'. x = 17.5 + -1.5y Simplifying x = 17.5 + -1.5y
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