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Simplifying 3(2x + 5) = 3x + 4y Reorder the terms: 3(5 + 2x) = 3x + 4y (5 * 3 + 2x * 3) = 3x + 4y (15 + 6x) = 3x + 4y Solving 15 + 6x = 3x + 4y Solving for variable 'x'. Move all terms containing x to the left, all other terms to the right. Add '-3x' to each side of the equation. 15 + 6x + -3x = 3x + -3x + 4y Combine like terms: 6x + -3x = 3x 15 + 3x = 3x + -3x + 4y Combine like terms: 3x + -3x = 0 15 + 3x = 0 + 4y 15 + 3x = 4y Add '-15' to each side of the equation. 15 + -15 + 3x = -15 + 4y Combine like terms: 15 + -15 = 0 0 + 3x = -15 + 4y 3x = -15 + 4y Divide each side by '3'. x = -5 + 1.333333333y Simplifying x = -5 + 1.333333333y
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