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Simplifying X + 3(5 + -6y) = 5x + 7y X + (5 * 3 + -6y * 3) = 5x + 7y X + (15 + -18y) = 5x + 7y Reorder the terms: 15 + X + -18y = 5x + 7y Solving 15 + X + -18y = 5x + 7y Solving for variable 'X'. Move all terms containing X to the left, all other terms to the right. Add '-15' to each side of the equation. 15 + X + -15 + -18y = 5x + -15 + 7y Reorder the terms: 15 + -15 + X + -18y = 5x + -15 + 7y Combine like terms: 15 + -15 = 0 0 + X + -18y = 5x + -15 + 7y X + -18y = 5x + -15 + 7y Reorder the terms: X + -18y = -15 + 5x + 7y Add '18y' to each side of the equation. X + -18y + 18y = -15 + 5x + 7y + 18y Combine like terms: -18y + 18y = 0 X + 0 = -15 + 5x + 7y + 18y X = -15 + 5x + 7y + 18y Combine like terms: 7y + 18y = 25y X = -15 + 5x + 25y Simplifying X = -15 + 5x + 25y
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