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Simplifying 2(x + 3) + 5y = 2y + 4 Reorder the terms: 2(3 + x) + 5y = 2y + 4 (3 * 2 + x * 2) + 5y = 2y + 4 (6 + 2x) + 5y = 2y + 4 Reorder the terms: 6 + 2x + 5y = 4 + 2y Solving 6 + 2x + 5y = 4 + 2y 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 + 5y = 4 + -6 + 2y Reorder the terms: 6 + -6 + 2x + 5y = 4 + -6 + 2y Combine like terms: 6 + -6 = 0 0 + 2x + 5y = 4 + -6 + 2y 2x + 5y = 4 + -6 + 2y Combine like terms: 4 + -6 = -2 2x + 5y = -2 + 2y Add '-5y' to each side of the equation. 2x + 5y + -5y = -2 + 2y + -5y Combine like terms: 5y + -5y = 0 2x + 0 = -2 + 2y + -5y 2x = -2 + 2y + -5y Combine like terms: 2y + -5y = -3y 2x = -2 + -3y Divide each side by '2'. x = -1 + -1.5y Simplifying x = -1 + -1.5y
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