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Simplifying 2(x + 3) + 6y = 15 Reorder the terms: 2(3 + x) + 6y = 15 (3 * 2 + x * 2) + 6y = 15 (6 + 2x) + 6y = 15 Solving 6 + 2x + 6y = 15 Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-6' to each side of the equation. 6 + 2x + -6 + 6y = 15 + -6 Reorder the terms: 6 + -6 + 2x + 6y = 15 + -6 Combine like terms: 6 + -6 = 0 0 + 2x + 6y = 15 + -6 2x + 6y = 15 + -6 Combine like terms: 15 + -6 = 9 2x + 6y = 9 Add '-6y' to each side of the equation. 2x + 6y + -6y = 9 + -6y Combine like terms: 6y + -6y = 0 2x + 0 = 9 + -6y 2x = 9 + -6y Divide each side by '2'. x = 4.5 + -3y Simplifying x = 4.5 + -3y
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